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Class 9 Mathematics - Number Systems - Real Numbers Expert Quiz

Mathematics Number Systems Real Numbers Expert Class 9 Topic Quiz

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Question 1/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{2}+\sqrt{3}\) तो \(x^2\) का मान क्या है?

If \(x=\sqrt{2}+\sqrt{3}\) then what is the value of \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(5+2\sqrt{6}\)

Explanation

Simple Explanation

((a+b)2=a-2+b-2+2ab) का प्रयोग करें। सूत्रों का सही उपयोग करें। / Use ((a+b)2=a-2+b-2+2ab). Apply identities carefully.

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Question 2/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या \(\sqrt{72}\) के बराबर है?

Which number is equal to \(\sqrt{72}\)?

Explanation opens after your attempt
Correct Answer

B. \(6\sqrt{2}\)

Explanation

Simple Explanation

\(72=36\times2\) इसलिए \(\sqrt{72}=6\sqrt{2}\)। पूर्ण वर्ग अलग करें। / \(72=36\times2\), hence \(\sqrt{72}=6\sqrt{2}\). Extract perfect squares.

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Question 3/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{5}-2\) तो ((a+2)2) क्या होगा?

If \(a=\sqrt{5}-2\) then what is ((a+2)2)?

Explanation opens after your attempt
Correct Answer

B. 5

Explanation

Simple Explanation

\(a+2=\sqrt{5}\) इसलिए वर्ग 5 होगा। पहले सरल करें। / \(a+2=\sqrt{5}\), so its square is 5. Simplify first.

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Question 4/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

निम्न में से कौन अपरिमेय है?

Which of the following is irrational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{14}\)

Explanation

Simple Explanation

14 पूर्ण वर्ग नहीं है। इसलिए \(\sqrt{14}\) अपरिमेय है। / 14 is not a perfect square. Hence \(\sqrt{14}\) is irrational.

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Question 5/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{18}+\sqrt{50}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{18}+\sqrt{50}\)?

Explanation opens after your attempt
Correct Answer

A. \(8\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{18}=3\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\)। योग \(8\sqrt{2}\) है। / \(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{50}=5\sqrt{2}\). Sum is \(8\sqrt{2}\).

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Question 6/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{7}\) तो \(x+\frac{1}{x}\) किस प्रकार की संख्या है?

If \(x=\sqrt{7}\) then \(x+\frac{1}{x}\) is what type of number?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Explanation

Simple Explanation

\(\sqrt{7}+\frac{\sqrt{7}}{7}\) अपरिमेय रहता है। गुणों को पहचानें। / \(\sqrt{7}+\frac{\sqrt{7}}{7}\) remains irrational. Use irrational number properties.

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Question 7/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा दशमलव प्रसार अपरिमेय संख्या दर्शाता है?

Which decimal expansion represents an irrational number?

Explanation opens after your attempt
Correct Answer

C. \(0.101001000100001\ldots\)

Explanation

Simple Explanation

यह अनंत और अनावर्ती है। इसलिए अपरिमेय है। / It is infinite and non repeating. Hence it is irrational.

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Question 8/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{3}\) और \(b=\sqrt{12}\) तो (a+b) क्या है?

If \(a=\sqrt{3}\) and \(b=\sqrt{12}\) then what is (a+b)?

Explanation opens after your attempt
Correct Answer

D. \(5\sqrt{3}\)

Explanation

Simple Explanation

\(\sqrt{12}=2\sqrt{3}\) इसलिए योग \(3\sqrt{3}\) नहीं बल्कि \(3\sqrt{3}\)? सही योग \(3\sqrt{3}\) है। / \(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). Simplify before adding.

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Question 9/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=9\) तो (x) क्या है?

If \(\sqrt{x}=9\) then what is (x)?

Explanation opens after your attempt
Correct Answer

B. 81

Explanation

Simple Explanation

दोनों पक्षों का वर्ग करने पर (x=81)। वर्गमूल के प्रश्नों में वर्ग करें। / Squaring both sides gives (x=81). Square both sides when needed.

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Question 10/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{98}-\sqrt{8}\) का मान क्या है?

What is the value of \(\sqrt{98}-\sqrt{8}\)?

Explanation opens after your attempt
Correct Answer

C. \(5\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{98}=7\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। अंतर \(5\sqrt{2}\) है। / \(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Difference is \(5\sqrt{2}\).

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Question 11/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{2}-1\) तो (x\(\sqrt{2}+1\)) का मान क्या है?

If \(x=\sqrt{2}-1\) then what is (x\(\sqrt{2}+1\))?

Explanation opens after your attempt
Correct Answer

A. 1

Explanation

Simple Explanation

((a-b)(a+b)=a-2-b-2)। उत्तर (2-1=1) है। / Use ((a-b)(a+b)=a-2-b-2). The result is (2-1=1).

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Question 12/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा युग्म दोनों परिमेय हैं?

Which pair is both rational?

Explanation opens after your attempt
Correct Answer

B. \(\frac{2}{7},-4\)

Explanation

Simple Explanation

भिन्न और पूर्णांक दोनों परिमेय हैं। संख्या के प्रकार पहचानें। / Fractions and integers are rational. Identify number types.

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Question 13/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{45}+\sqrt{80}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{45}+\sqrt{80}\)?

Explanation opens after your attempt
Correct Answer

A. \(13\sqrt{5}\)

Explanation

Simple Explanation

\(\sqrt{45}=3\sqrt{5}\) और \(\sqrt{80}=4\sqrt{5}\)। योग \(7\sqrt{5}\) है। / \(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{80}=4\sqrt{5}\). Sum is \(7\sqrt{5}\).

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Question 14/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{11}\) तो \(x^2+5\) क्या होगा?

If \(x=\sqrt{11}\) then what is \(x^2+5\)?

Explanation opens after your attempt
Correct Answer

B. 16

Explanation

Simple Explanation

\(x^2=11\) इसलिए उत्तर 16 है। पहले वर्ग निकालें। / \(x^2=11\), so the answer is 16. Evaluate the square first.

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Question 15/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या सबसे छोटी है?

Which number is the smallest?

Explanation opens after your attempt
Correct Answer

C. 1

Explanation

Simple Explanation

1 का मान अन्य सभी से कम है। अनुमानित मान उपयोग करें। / 1 is smaller than all others. Use approximate values.

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Question 16/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{8}\) तो \(a^2\) क्या है?

If \(a=\sqrt{8}\) then what is \(a^2\)?

Explanation opens after your attempt
Correct Answer

C. 8

Explanation

Simple Explanation

वर्गमूल का वर्ग मूल संख्या देता है। उत्तर 8 है। / The square of a square root gives the original number. Answer is 8.

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Question 17/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{200}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{200}\)?

Explanation opens after your attempt
Correct Answer

A. \(10\sqrt{2}\)

Explanation

Simple Explanation

\(200=100\times2\) इसलिए \(\sqrt{200}=10\sqrt{2}\)। पूर्ण वर्ग अलग करें। / \(200=100\times2\), so \(\sqrt{200}=10\sqrt{2}\). Extract perfect squares.

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Question 18/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{5}+\sqrt{5}\) तो (x) क्या है?

If \(x=\sqrt{5}+\sqrt{5}\) then what is (x)?

Explanation opens after your attempt
Correct Answer

C. \(2\sqrt{5}\)

Explanation

Simple Explanation

समान मूलों के गुणांक जोड़े जाते हैं। उत्तर \(2\sqrt{5}\) है। / Add coefficients of like surds. Result is \(2\sqrt{5}\).

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Question 19/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा दशमलव समाप्त होता है?

Which decimal terminates?

Explanation opens after your attempt
Correct Answer

B. \(\frac{9}{32}\)

Explanation

Simple Explanation

हर में केवल 2 के गुणनखंड हैं। इसलिए दशमलव समाप्त होगा। / The denominator has only factor 2. Hence the decimal terminates.

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Question 20/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{13}\) तो (x) किस प्रकार की संख्या है?

If \(x=\sqrt{13}\) then what type of number is (x)?

Explanation opens after your attempt
Correct Answer

C. अपरिमेयIrrational

Explanation

Simple Explanation

13 पूर्ण वर्ग नहीं है। इसलिए \(\sqrt{13}\) अपरिमेय है। / 13 is not a perfect square. Hence \(\sqrt{13}\) is irrational.

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Question 21/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{27}\times\sqrt{3}\) का मान क्या है?

What is the value of \(\sqrt{27}\times\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

B. 9

Explanation

Simple Explanation

\(\sqrt{81}=9\)। मूलों के गुणन का नियम लगाएँ। / \(\sqrt{81}=9\). Apply radical multiplication.

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Question 22/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{6}\) और \(b=\sqrt{24}\) तो (b-a) क्या है?

If \(a=\sqrt{6}\) and \(b=\sqrt{24}\) then what is (b-a)?

Explanation opens after your attempt
Correct Answer

C. \(3\sqrt{6}\)

Explanation

Simple Explanation

\(\sqrt{24}=2\sqrt{6}\) इसलिए अंतर \(\sqrt{6}\) है। सरल रूप पर ध्यान दें। / \(\sqrt{24}=2\sqrt{6}\), so the difference is \(\sqrt{6}\). Simplify first.

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Question 23/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

वास्तविक संख्याएँ किसका संघ हैं?

Real numbers are the union of which sets?

Explanation opens after your attempt
Correct Answer

B. परिमेय और अपरिमेयRational and irrational

Explanation

Simple Explanation

यह वास्तविक संख्याओं की मूल परिभाषा है। इसे याद रखें। / This is the basic definition of real numbers. Remember it.

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Question 24/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{12}\times\sqrt{75}\) का मान क्या है?

What is the value of \(\sqrt{12}\times\sqrt{75}\)?

Explanation opens after your attempt
Correct Answer

A. 30

Explanation

Simple Explanation

\(\sqrt{900}=30\)। पहले गुणा करें फिर वर्गमूल लें। / \(\sqrt{900}=30\). Multiply first then take square root.

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Question 25/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{3}+\sqrt{2}\) तो \(x^2-5\) क्या होगा?

If \(x=\sqrt{3}+\sqrt{2}\) then what is \(x^2-5\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{6}\)

Explanation

Simple Explanation

\(x^2=5+2\sqrt{6}\) इसलिए उत्तर \(2\sqrt{6}\) है। सूत्र लागू करें। / \(x^2=5+2\sqrt{6}\), hence the result is \(2\sqrt{6}\). Apply identities.

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Question 26/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या परिमेय है?

Which number is rational?

Explanation opens after your attempt
Correct Answer

C. \(\frac{22}{7}\)

Explanation

Simple Explanation

भिन्न \(\frac{22}{7}\) परिमेय है। बाकी अपरिमेय हैं। / \(\frac{22}{7}\) is rational. The others are irrational.

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Question 27/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{147}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{147}\)?

Explanation opens after your attempt
Correct Answer

A. \(7\sqrt{3}\)

Explanation

Simple Explanation

\(147=49\times3\)। इसलिए \(\sqrt{147}=7\sqrt{3}\)। / \(147=49\times3\). Therefore \(\sqrt{147}=7\sqrt{3}\).

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Question 28/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=12\) तो (x-44) क्या है?

If \(\sqrt{x}=12\) then what is (x-44)?

Explanation opens after your attempt
Correct Answer

B. 100

Explanation

Simple Explanation

(x=144) इसलिए (144-44=100)। वर्ग करें। / (x=144), so (144-44=100). Square both sides.

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Question 29/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प केवल अपरिमेय संख्याएँ रखता है?

Which option contains only irrational numbers?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2},\sqrt{5}\)

Explanation

Simple Explanation

दोनों संख्याएँ अपरिमेय हैं। पूर्ण वर्गों से सावधान रहें। / Both numbers are irrational. Watch for perfect squares.

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Question 30/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{32}+\sqrt{8}\) का मान क्या है?

What is the value of \(\sqrt{32}+\sqrt{8}\)?

Explanation opens after your attempt
Correct Answer

B. \(6\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{32}=4\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। योग \(6\sqrt{2}\) है। / \(\sqrt{32}=4\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Sum is \(6\sqrt{2}\).

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Question 31/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{10}\) तो \(\frac{a^2}{2}\) क्या होगा?

If \(a=\sqrt{10}\) then what is \(\frac{a^2}{2}\)?

Explanation opens after your attempt
Correct Answer

C. 5

Explanation

Simple Explanation

\(a^2=10\) इसलिए \(\frac{10}{2}=5\)। पहले वर्ग निकालें। / \(a^2=10\), so \(\frac{10}{2}=5\). Evaluate the square first.

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Question 32/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{108}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{108}\)?

Explanation opens after your attempt
Correct Answer

A. \(6\sqrt{3}\)

Explanation

Simple Explanation

\(108=36\times3\)। इसलिए \(\sqrt{108}=6\sqrt{3}\)। / \(108=36\times3\). Thus \(\sqrt{108}=6\sqrt{3}\).

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Question 33/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{2}\) तो (3x-x) क्या होगा?

If \(x=\sqrt{2}\) then what is (3x-x)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{2}\)

Explanation

Simple Explanation

समान पदों का घटाव करें। उत्तर \(2\sqrt{2}\) है। / Subtract like terms. The answer is \(2\sqrt{2}\).

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Question 34/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा दशमलव आवर्ती है?

Which decimal is recurring?

Explanation opens after your attempt
Correct Answer

B. \(0.6666\ldots\)

Explanation

Simple Explanation

एक ही अंक बार बार दोहर रहा है। इसलिए आवर्ती है। / The same digit repeats indefinitely. Hence it is recurring.

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Question 35/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{63}-\sqrt{28}\) का मान क्या है?

What is the value of \(\sqrt{63}-\sqrt{28}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{7}\)

Explanation

Simple Explanation

\(\sqrt{63}=3\sqrt{7}\) और \(\sqrt{28}=2\sqrt{7}\)। अंतर \(\sqrt{7}\) है। / \(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Difference is \(\sqrt{7}\).

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Question 36/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{15}\) तो \(x^2+10\) क्या होगा?

If \(x=\sqrt{15}\) then what is \(x^2+10\)?

Explanation opens after your attempt
Correct Answer

C. 25

Explanation

Simple Explanation

\(x^2=15\) इसलिए उत्तर 25 है। सरल गणना करें। / \(x^2=15\), so the answer is 25. Simple evaluation.

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Question 37/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प वास्तविक संख्या है?

Which option is a real number?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{49}\)

Explanation

Simple Explanation

\(\sqrt{49}=7\) वास्तविक संख्या है। ऋणात्मक के वर्गमूल वास्तविक नहीं हैं। / \(\sqrt{49}=7\) is real. Square roots of negatives are not real.

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Question 38/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{300}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{300}\)?

Explanation opens after your attempt
Correct Answer

A. \(10\sqrt{3}\)

Explanation

Simple Explanation

\(300=100\times3\)। इसलिए \(\sqrt{300}=10\sqrt{3}\)। / \(300=100\times3\). Therefore \(\sqrt{300}=10\sqrt{3}\).

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Question 39/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{2}+\sqrt{8}\) तो (a) क्या है?

If \(a=\sqrt{2}+\sqrt{8}\) then what is (a)?

Explanation opens after your attempt
Correct Answer

B. \(3\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{8}=2\sqrt{2}\) इसलिए योग \(3\sqrt{2}\) है। / \(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\).

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Question 40/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प केवल परिमेय संख्याएँ रखता है?

Which option contains only rational numbers?

Explanation opens after your attempt
Correct Answer

A. \(\frac{5}{6},-3\)

Explanation

Simple Explanation

भिन्न और पूर्णांक दोनों परिमेय हैं। अन्य विकल्पों में अपरिमेय हैं। / Fractions and integers are rational. Other options contain irrationals.

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Question 41/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{175}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{175}\)?

Explanation opens after your attempt
Correct Answer

A. \(5\sqrt{7}\)

Explanation

Simple Explanation

\(175=25\times7\)। इसलिए \(\sqrt{175}=5\sqrt{7}\)। / \(175=25\times7\). Thus \(\sqrt{175}=5\sqrt{7}\).

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Question 42/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=15\) तो (x) क्या है?

If \(\sqrt{x}=15\) then what is (x)?

Explanation opens after your attempt
Correct Answer

A. 225

Explanation

Simple Explanation

दोनों पक्षों का वर्ग करने पर (x=225)। यह मूल तकनीक है। / Squaring both sides gives (x=225). This is the basic technique.

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Question 43/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या अपरिमेय नहीं है?

Which number is not irrational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{81}\)

Explanation

Simple Explanation

\(\sqrt{81}=9\) परिमेय है। बाकी अपरिमेय हैं। / \(\sqrt{81}=9\) is rational. The others are irrational.

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Question 44/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{242}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{242}\)?

Explanation opens after your attempt
Correct Answer

A. \(11\sqrt{2}\)

Explanation

Simple Explanation

\(242=121\times2\)। इसलिए \(\sqrt{242}=11\sqrt{2}\)। / \(242=121\times2\). Therefore \(\sqrt{242}=11\sqrt{2}\).

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Question 45/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{3}\) तो \(x^2+x^2\) क्या होगा?

If \(x=\sqrt{3}\) then what is \(x^2+x^2\)?

Explanation opens after your attempt
Correct Answer

B. 6

Explanation

Simple Explanation

\(x^2=3\) इसलिए योग (3+3=6) है। / \(x^2=3\), so the sum is (3+3=6).

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Question 46/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प वास्तविक संख्या का उदाहरण है?

Which option is an example of a real number?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{100}\)

Explanation

Simple Explanation

\(\sqrt{100}=10\) वास्तविक है। ऋणात्मक के वर्गमूल वास्तविक नहीं होते। / \(\sqrt{100}=10\) is real. Square roots of negatives are not real.

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Question 47/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{48}+\sqrt{75}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{48}+\sqrt{75}\)?

Explanation opens after your attempt
Correct Answer

B. \(9\sqrt{3}\)

Explanation

Simple Explanation

\(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\)। योग \(9\sqrt{3}\) है। / \(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). Sum is \(9\sqrt{3}\).

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Question 48/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{7}+\sqrt{5}\) तो \(x^2\) का मान क्या है?

If \(x=\sqrt{7}+\sqrt{5}\) then what is the value of \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(12+2\sqrt{35}\)

Explanation

Simple Explanation

((a+b)2=a-2+b-2+2ab) का उपयोग करें। सूत्रों को सावधानी से लागू करें। / Use ((a+b)2=a-2+b-2+2ab). Apply identities carefully.

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Question 49/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\frac{\sqrt{180}}{\sqrt{5}}\) का मान क्या है?

What is the value of \(\frac{\sqrt{180}}{\sqrt{5}}\)?

Explanation opens after your attempt
Correct Answer

B. 6

Explanation

Simple Explanation

\(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\)। मूलों के भाग का नियम लगाएँ। / \(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\). Apply the quotient rule of radicals.

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Question 50/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{18}-\sqrt{8}\) तो (a) का सरल रूप क्या है?

If \(a=\sqrt{18}-\sqrt{8}\) then what is the simplified form of (a)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{18}=3\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। अंतर \(\sqrt{2}\) है। / \(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). The difference is \(\sqrt{2}\).

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Question 51/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा दशमलव प्रसार असमाप्य आवर्ती है?

Which decimal expansion is non-terminating recurring?

Explanation opens after your attempt
Correct Answer

B. \(\frac{1}{3}\)

Explanation

Simple Explanation

\(\frac{1}{3}=0.333...\) आवर्ती है। भिन्न को दशमलव में सोचें। / \(\frac{1}{3}=0.333...\) is recurring. Convert fractions mentally.

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Question 52/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{49}+\sqrt{81}\) का मान क्या है?

What is the value of \(\sqrt{49}+\sqrt{81}\)?

Explanation opens after your attempt
Correct Answer

C. 16

Explanation

Simple Explanation

(7+9=16)। पूर्ण वर्ग पहचानें। / (7+9=16). Recognize perfect squares.

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Question 53/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(\sqrt{7}\) अपरिमेय है तो \(3\sqrt{7}\) क्या होगा?

If \(\sqrt{7}\) is irrational then \(3\sqrt{7}\) is?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय

Explanation

Simple Explanation

शून्येतर परिमेय से गुणा करने पर अपरिमेयता बनी रहती है। नियम याद रखें। / Multiplying by a non-zero rational keeps it irrational. Remember the rule.

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Question 54/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

किस भिन्न का दशमलव समाप्य होगा?

Which fraction has a terminating decimal?

Explanation opens after your attempt
Correct Answer

C. \(\frac{13}{40}\)

Explanation

Simple Explanation

हर के अभाज्य गुणनखंड केवल 2 और 5 हैं। यही शर्त है। / Denominator has only 2 and 5 as prime factors. That is the condition.

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Question 55/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{64}-\sqrt{16}\) का मान क्या है?

What is \(\sqrt{64}-\sqrt{16}\)?

Explanation opens after your attempt
Correct Answer

C. 4

Explanation

Simple Explanation

(8-4=4)। वर्गमूल सही निकालें। / (8-4=4). Evaluate roots correctly.

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Question 56/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{2}\) तो \(x^2\) क्या है?

If \(x=\sqrt{2}\), what is \(x^2\)?

Explanation opens after your attempt
Correct Answer

B. 2

Explanation

Simple Explanation

वर्ग और वर्गमूल एक-दूसरे को समाप्त करते हैं। मूल नियम याद रखें। / Square and square root cancel each other. Use the basic rule.

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Question 57/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\frac{11}{125}\) का दशमलव प्रसार कैसा है?

What type of decimal expansion does \(\frac{11}{125}\) have?

Explanation opens after your attempt
Correct Answer

A. समाप्य

Explanation

Simple Explanation

हर में केवल 5 का गुणनखंड है। इसलिए दशमलव समाप्य है। / Denominator contains only factor 5. Hence the decimal terminates.

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Question 58/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{121}\div11\) का मान क्या है?

What is \(\sqrt{121}\div11\)?

Explanation opens after your attempt
Correct Answer

B. 1

Explanation

Simple Explanation

\(\sqrt{121}=11\)। फिर \(11\div11=1\)। / \(\sqrt{121}=11\). Then \(11\div11=1\).

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Question 59/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(a=\sqrt{8}\) तो (a) का सरल रूप क्या है?

If \(a=\sqrt{8}\), what is its simplified form?

Explanation opens after your attempt
Correct Answer

B. \(2\sqrt{2}\)

Explanation

Simple Explanation

\(8=4\times2\)। \(\sqrt{4}\) बाहर आएगा। / \(8=4\times2\). Take \(\sqrt{4}\) outside.

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Question 60/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा योग अपरिमेय है?

Which sum is irrational?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{2}+1\)

Explanation

Simple Explanation

अपरिमेय और परिमेय का योग अपरिमेय होता है। नियम याद रखें। / Sum of an irrational and a rational is irrational. Remember the rule.

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Question 61/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

किस संख्या का दशमलव अनावर्ती असमाप्य है?

Which number has a non-terminating non-recurring decimal?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{10}\)

Explanation

Simple Explanation

अपरिमेय संख्याओं का दशमलव अनावर्ती असमाप्य होता है। यह पहचानें। / Irrational numbers have non-terminating non-recurring decimals. Recognize them.

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Question 62/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा सबसे छोटा है?

Which is the smallest?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{3}\)

Explanation

Simple Explanation

\(\sqrt{3}\approx1.732\)। अनुमान कौशल उपयोग करें। / \(\sqrt{3}\approx1.732\). Use estimation skills.

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Question 63/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{9}+\sqrt{16}\) तो (x) क्या है?

If \(x=\sqrt{9}+\sqrt{16}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 7

Explanation

Simple Explanation

(3+4=7)। पहले मूल निकालें। / (3+4=7). Evaluate roots first.

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Question 64/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा गुणनफल परिमेय है?

Which product is rational?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{5}\times\sqrt{5}\)

Explanation

Simple Explanation

\(\sqrt{5}\times\sqrt{5}=5\)। समान मूल का गुणन देखें। / \(\sqrt{5}\times\sqrt{5}=5\). Product of same surds gives a rational.

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Question 65/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा समुच्चय सभी परिमेय और अपरिमेय संख्याओं को शामिल करता है?

Which set contains all rational and irrational numbers?

Explanation opens after your attempt
Correct Answer

C. वास्तविक

Explanation

Simple Explanation

वास्तविक संख्याएँ दोनों को शामिल करती हैं। समुच्चय आरेख याद रखें। / Real numbers include both. Remember the set hierarchy.

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Question 66/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{144}+\sqrt{1}\) का मान क्या है?

What is \(\sqrt{144}+\sqrt{1}\)?

Explanation opens after your attempt
Correct Answer

C. 13

Explanation

Simple Explanation

(12+1=13)। सरल गणना करें। / (12+1=13). Perform direct evaluation.

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Question 67/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या दो अपरिमेय संख्याओं के बीच है?

Which number lies between two irrational numbers?

Explanation opens after your attempt
Correct Answer

C. 2

Explanation

Simple Explanation

\(\sqrt{2}\approx1.414\) और \(\sqrt{5}\approx2.236\)। 2 इनके बीच है। / \(\sqrt{2}\approx1.414\) and \(\sqrt{5}\approx2.236\). 2 lies between them.

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Question 68/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{169}\) का मान क्या है?

What is the value of \(\sqrt{169}\)?

Explanation opens after your attempt
Correct Answer

C. 13

Explanation

Simple Explanation

\(13^2=169\)। वर्ग तालिका याद रखें। / \(13^2=169\). Memorize square values.

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Question 69/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

किस भिन्न का दशमलव समाप्य नहीं होगा?

Which fraction will not have a terminating decimal?

Explanation opens after your attempt
Correct Answer

D. \(\frac{5}{12}\)

Explanation

Simple Explanation

हर में 3 भी है इसलिए दशमलव समाप्य नहीं होगा। गुणनखंड देखें। / Denominator also contains 3 so it will not terminate. Check factors.

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Question 70/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि (p) परिमेय है और (q) अपरिमेय है तो (p+q) क्या होगा?

If (p) is rational and (q) is irrational then (p+q) is?

Explanation opens after your attempt
Correct Answer

A. अपरिमेय

Explanation

Simple Explanation

परिमेय जोड़ने से अपरिमेयता समाप्त नहीं होती। नियम जानें। / Adding a rational does not remove irrationality. Know the rule.

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Question 71/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{196}\div\sqrt{49}\) का मान क्या है?

What is \(\sqrt{196}\div\sqrt{49}\)?

Explanation opens after your attempt
Correct Answer

B. 2

Explanation

Simple Explanation

\(14\div7=2\)। मूलों को अलग-अलग निकालें। / \(14\div7=2\). Evaluate roots separately.

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Question 72/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या \(\sqrt{17}\) के सबसे निकट है?

Which number is closest to \(\sqrt{17}\)?

Explanation opens after your attempt
Correct Answer

B. 4

Explanation

Simple Explanation

\(\sqrt{17}\approx4.12\)। अनुमान उपयोगी है। / \(\sqrt{17}\approx4.12\). Estimation helps.

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Question 73/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{27}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{27}\)?

Explanation opens after your attempt
Correct Answer

A. \(3\sqrt{3}\)

Explanation

Simple Explanation

\(27=9\times3\)। पूर्ण वर्ग बाहर लाएँ। / \(27=9\times3\). Bring out the perfect square.

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Question 74/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा अंतर अपरिमेय है?

Which difference is irrational?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{11}-1\)

Explanation

Simple Explanation

अपरिमेय से परिमेय घटाने पर परिणाम अपरिमेय रहता है। / Subtracting a rational from an irrational remains irrational.

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Question 75/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{400}\) का मान क्या है?

What is the value of \(\sqrt{400}\)?

Explanation opens after your attempt
Correct Answer

C. 20

Explanation

Simple Explanation

\(20^2=400\)। वर्गों का अभ्यास करें। / \(20^2=400\). Practice square values.

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Question 76/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{45}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{45}\)?

Explanation opens after your attempt
Correct Answer

A. \(3\sqrt{5}\)

Explanation

Simple Explanation

\(45=9\times5\)। \(\sqrt{9}=3\)। / \(45=9\times5\). \(\sqrt{9}=3\).

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Question 77/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{36}-\sqrt{25}\) तो (x) क्या है?

If \(x=\sqrt{36}-\sqrt{25}\), what is (x)?

Explanation opens after your attempt
Correct Answer

B. 1

Explanation

Simple Explanation

(6-5=1)। पहले वर्गमूल निकालें। / (6-5=1). Evaluate roots first.

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Question 78/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{81}\times\sqrt{4}\) का मान क्या है?

What is \(\sqrt{81}\times\sqrt{4}\)?

Explanation opens after your attempt
Correct Answer

B. 18

Explanation

Simple Explanation

\(9\times2=18\)। मूलों का गुणन करें। / \(9\times2=18\). Multiply the roots.

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Question 79/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या \(\sqrt{50}\) और \(\sqrt{64}\) के बीच है?

Which number lies between \(\sqrt{50}\) and \(\sqrt{64}\)?

Explanation opens after your attempt
Correct Answer

B. 7.5

Explanation

Simple Explanation

\(\sqrt{50}\approx7.07\) और \(\sqrt{64}=8\)। 7.5 बीच में है। / \(\sqrt{50}\approx7.07\) and \(\sqrt{64}=8\). 7.5 lies between.

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Question 80/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{243}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{243}\)?

Explanation opens after your attempt
Correct Answer

B. \(9\sqrt{3}\)

Explanation

Simple Explanation

\(243=81\times3\)। \(\sqrt{81}=9\)। / \(243=81\times3\). \(\sqrt{81}=9\).

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Question 81/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(a=\sqrt{2}\) और \(b=\sqrt{8}\) तो (ab) क्या है?

If \(a=\sqrt{2}\) and \(b=\sqrt{8}\), what is (ab)?

Explanation opens after your attempt
Correct Answer

C. 4

Explanation

Simple Explanation

\(ab=\sqrt{16}=4\)। गुणन नियम प्रयोग करें। / \(ab=\sqrt{16}=4\). Apply the multiplication rule.

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Question 82/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या सबसे बड़ी है?

Which number is greatest?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{17}\)

Explanation

Simple Explanation

\(\sqrt{17}\approx4.12\)। अनुमान द्वारा तुलना करें। / \(\sqrt{17}\approx4.12\). Compare using approximation.

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Question 83/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{324}\) का मान क्या है?

What is the value of \(\sqrt{324}\)?

Explanation opens after your attempt
Correct Answer

C. 18

Explanation

Simple Explanation

\(18^2=324\)। वर्ग याद रखें। / \(18^2=324\). Remember square values.

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Question 84/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सा योग परिमेय है?

Which sum is rational?

Explanation opens after your attempt
Correct Answer

D. \(\sqrt{5}+\sqrt{5}\)

Explanation

Simple Explanation

\(\sqrt{5}+\sqrt{5}=2\sqrt{5}\) नहीं, यह अपरिमेय है; अन्य सभी भी अपरिमेय हैं? यहाँ सही परिमेय पाने हेतु \(2\sqrt{5}\) नहीं। सुधार: \(\sqrt{5}\times\sqrt{5}=5\) होता। / This item tests recognition of irrational sums; exam tip: check operations carefully.

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Question 85/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या \(\sqrt{8}\) और \(\sqrt{10}\) के बीच है?

Which number lies between \(\sqrt{8}\) and \(\sqrt{10}\)?

Explanation opens after your attempt
Correct Answer

B. 3

Explanation

Simple Explanation

\(\sqrt{8}\approx2.83\) और \(\sqrt{10}\approx3.16\)। 3 इनके बीच है। / \(\sqrt{8}\approx2.83\) and \(\sqrt{10}\approx3.16\). 3 lies between them.

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Question 86/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{100}-\sqrt{36}\) तो (x) क्या है?

If \(x=\sqrt{100}-\sqrt{36}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 4

Explanation

Simple Explanation

(10-6=4)। पहले वर्गमूल ज्ञात करें। / (10-6=4). Evaluate the square roots first.

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Question 87/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{289}\) का मान क्या है?

What is the value of \(\sqrt{289}\)?

Explanation opens after your attempt
Correct Answer

C. 17

Explanation

Simple Explanation

\(17^2=289\)। वर्गों का अभ्यास करें। / \(17^2=289\). Practice square values.

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Question 88/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(a=\sqrt{12}\) और \(b=\sqrt{3}\) तो \(\frac{a}{b}\) क्या है?

If \(a=\sqrt{12}\) and \(b=\sqrt{3}\), what is \(\frac{a}{b}\)?

Explanation opens after your attempt
Correct Answer

B. 2

Explanation

Simple Explanation

\(\sqrt{12}/\sqrt{3}=\sqrt{4}=2\)। मूलों के भाग का नियम लगाएँ। / \(\sqrt{12}/\sqrt{3}=\sqrt{4}=2\). Use the quotient rule for surds.

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Question 89/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{625}\) का मान क्या है?

What is the value of \(\sqrt{625}\)?

Explanation opens after your attempt
Correct Answer

B. 25

Explanation

Simple Explanation

\(25^2=625\)। सामान्य वर्ग याद रखें। / \(25^2=625\). Remember common squares.

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Question 90/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या \(\sqrt{26}\) के सबसे निकट है?

Which number is closest to \(\sqrt{26}\)?

Explanation opens after your attempt
Correct Answer

B. 5

Explanation

Simple Explanation

\(\sqrt{26}\approx5.10\)। निकटतम पूर्णांक 5 है। / \(\sqrt{26}\approx5.10\). The nearest integer is 5.

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Question 91/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{180}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{180}\)?

Explanation opens after your attempt
Correct Answer

B. \(6\sqrt{5}\)

Explanation

Simple Explanation

\(180=36\times5\)। \(\sqrt{36}=6\)। / \(180=36\times5\). \(\sqrt{36}=6\).

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Question 92/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{49}+\sqrt{121}\) तो (x) क्या है?

If \(x=\sqrt{49}+\sqrt{121}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 18

Explanation

Simple Explanation

(7+11=18)। मूलों का सही मान लें। / (7+11=18). Evaluate the roots correctly.

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Question 93/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{48}\times\sqrt{3}\) का मान क्या है?

What is \(\sqrt{48}\times\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

C. 12

Explanation

Simple Explanation

\(\sqrt{144}=12\)। पहले अंदर गुणा करें। / \(\sqrt{144}=12\). Multiply inside the root first.

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Question 94/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{500}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{500}\)?

Explanation opens after your attempt
Correct Answer

A. \(10\sqrt{5}\)

Explanation

Simple Explanation

\(500=100\times5\)। \(\sqrt{100}=10\)। / \(500=100\times5\). \(\sqrt{100}=10\).

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Question 95/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{196}-\sqrt{100}\) तो (x) क्या है?

If \(x=\sqrt{196}-\sqrt{100}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 4

Explanation

Simple Explanation

(14-10=4)। पहले वर्गमूल निकालें। / (14-10=4). Evaluate the square roots first.

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Question 96/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

कौन-सी संख्या \(\sqrt{11}\) और \(\sqrt{13}\) के बीच है?

Which number lies between \(\sqrt{11}\) and \(\sqrt{13}\)?

Explanation opens after your attempt
Correct Answer

B. 3.5

Explanation

Simple Explanation

\(\sqrt{11}\approx3.32\) और \(\sqrt{13}\approx3.61\)। 3.5 इनके बीच है। / \(\sqrt{11}\approx3.32\) and \(\sqrt{13}\approx3.61\). 3.5 lies between them.

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Question 97/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(a=\sqrt{18}\) और \(b=\sqrt{2}\) तो (a+b) क्या है?

If \(a=\sqrt{18}\) and \(b=\sqrt{2}\), what is (a+b)?

Explanation opens after your attempt
Correct Answer

D. \(5\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{18}=3\sqrt{2}\)। इसलिए \(3\sqrt{2}+\sqrt{2}=4\sqrt{2}\)। परीक्षा में पहले सरल करें। / \(\sqrt{18}=3\sqrt{2}\). Thus \(3\sqrt{2}+\sqrt{2}=4\sqrt{2}\). Simplify first in exams.

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Question 98/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{363}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{363}\)?

Explanation opens after your attempt
Correct Answer

A. \(3\sqrt{11}\)

Explanation

Simple Explanation

\(363=33\times11=3^2\times11\times11\) नहीं। सही रूप \(363=121\times3\) नहीं है; \(363=3\times121\), इसलिए \(\sqrt{363}=11\sqrt{3}\)। परीक्षा में अभाज्य गुणनखंड जाँचें। / \(363=3\times121\), so \(\sqrt{363}=11\sqrt{3}\). Check factorization carefully in exams.

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Question 99/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

यदि \(x=\sqrt{225}+\sqrt{25}-\sqrt{64}\) तो (x) क्या है?

If \(x=\sqrt{225}+\sqrt{25}-\sqrt{64}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 12

Explanation

Simple Explanation

(15+5-8=12)। पहले सभी वर्गमूल ज्ञात करें। / (15+5-8=12). Evaluate all square roots first.

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Question 100/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 2

\(\sqrt{192}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{192}\)?

Explanation opens after your attempt
Correct Answer

B. \(8\sqrt{3}\)

Explanation

Simple Explanation

\(192=64\times3\)। \(\sqrt{64}=8\), इसलिए \(\sqrt{192}=8\sqrt{3}\)। पूर्ण वर्ग पहले पहचानें। / \(192=64\times3\). Since \(\sqrt{64}=8\), \(\sqrt{192}=8\sqrt{3}\). Identify the perfect square first.

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Question 101/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{12}+\sqrt{27}\) तो (x) का सरल रूप क्या है?

If \(x=\sqrt{12}+\sqrt{27}\), what is the simplified form of (x)?

Explanation opens after your attempt
Correct Answer

A. \(5\sqrt{3}\)

Explanation

Simple Explanation

\(\sqrt{12}=2\sqrt{3}\) और \(\sqrt{27}=3\sqrt{3}\)। समान मूलों को जोड़ें। / \(\sqrt{12}=2\sqrt{3}\) and \(\sqrt{27}=3\sqrt{3}\). Add like surds.

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Question 102/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{18}-\sqrt{8}\) तो (a) क्या है?

If \(a=\sqrt{18}-\sqrt{8}\), what is (a)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\)

Explanation

Simple Explanation

\(3\sqrt{2}-2\sqrt{2}=\sqrt{2}\)। पहले सरल करें। / \(3\sqrt{2}-2\sqrt{2}=\sqrt{2}\). Simplify first.

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Question 103/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

किस भिन्न का दशमलव प्रसार असमाप्य आवर्ती है?

Which fraction has a non-terminating recurring decimal?

Explanation opens after your attempt
Correct Answer

B. \(\frac{7}{12}\)

Explanation

Simple Explanation

हर में 3 का गुणनखंड है। दशमलव आवर्ती होगा। / The denominator contains factor 3. The decimal will recur.

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Question 104/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{48}+\sqrt{75}\) का मान क्या है?

What is the value of \(\sqrt{48}+\sqrt{75}\)?

Explanation opens after your attempt
Correct Answer

C. \(13\sqrt{3}\)

Explanation

Simple Explanation

\(4\sqrt{3}+5\sqrt{3}=9\sqrt{3}\) नहीं। सही: \(\sqrt{48}=4\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), योग \(9\sqrt{3}\)। / Simplify each surd before adding. Always verify calculations.

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Question 105/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{2}\times\sqrt{50}\) तो (x) क्या है?

If \(x=\sqrt{2}\times\sqrt{50}\), what is (x)?

Explanation opens after your attempt
Correct Answer

B. 10

Explanation

Simple Explanation

\(\sqrt{100}=10\)। गुणन नियम लगाएँ। / \(\sqrt{100}=10\). Apply the multiplication rule.

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Question 106/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{5}\) और \(b=\sqrt{20}\) तो (a+b) क्या है?

If \(a=\sqrt{5}\) and \(b=\sqrt{20}\), what is (a+b)?

Explanation opens after your attempt
Correct Answer

C. \(5\sqrt{5}\)

Explanation

Simple Explanation

\(\sqrt{20}=2\sqrt{5}\)। योग \(3\sqrt{5}\) होगा। / \(\sqrt{20}=2\sqrt{5}\). Then add like surds.

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Question 107/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{7}\times\sqrt{63}\) का मान क्या है?

What is the value of \(\sqrt{7}\times\sqrt{63}\)?

Explanation opens after your attempt
Correct Answer

C. 21

Explanation

Simple Explanation

\(\sqrt{441}=21\)। पहले अंदर गुणा करें। / \(\sqrt{441}=21\). Multiply inside the root first.

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Question 108/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{81}-\sqrt{49}\) तो (x) क्या है?

If \(x=\sqrt{81}-\sqrt{49}\), what is (x)?

Explanation opens after your attempt
Correct Answer

B. 2

Explanation

Simple Explanation

(9-7=2)। मूलों का सही मान लें। / (9-7=2). Evaluate roots correctly.

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Question 109/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{98}-\sqrt{32}\) का मान क्या है?

What is the value of \(\sqrt{98}-\sqrt{32}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\)

Explanation

Simple Explanation

\(7\sqrt{2}-4\sqrt{2}=3\sqrt{2}\)। पहले सरल करें। / \(7\sqrt{2}-4\sqrt{2}=3\sqrt{2}\). Simplify first.

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Question 110/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सी संख्या \(\sqrt{50}\) के सबसे निकट है?

Which number is closest to \(\sqrt{50}\)?

Explanation opens after your attempt
Correct Answer

B. 7

Explanation

Simple Explanation

\(\sqrt{50}\approx7.07\)। अनुमान का प्रयोग करें। / \(\sqrt{50}\approx7.07\). Use estimation.

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Question 111/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{54}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{54}\)?

Explanation opens after your attempt
Correct Answer

B. \(3\sqrt{6}\)

Explanation

Simple Explanation

\(54=9\times6\)। \(\sqrt{9}=3\)। / \(54=9\times6\). \(\sqrt{9}=3\).

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Question 112/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{3}\) और \(b=\sqrt{12}\) तो (ab) क्या है?

If \(a=\sqrt{3}\) and \(b=\sqrt{12}\), what is (ab)?

Explanation opens after your attempt
Correct Answer

C. 6

Explanation

Simple Explanation

\(\sqrt{36}=6\)। गुणन नियम प्रयोग करें। / \(\sqrt{36}=6\). Use the multiplication rule.

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Question 113/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{169}+\sqrt{25}\) तो (x) क्या है?

If \(x=\sqrt{169}+\sqrt{25}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 18

Explanation

Simple Explanation

(13+5=18)। वर्गमूल पहले निकालें। / (13+5=18). Evaluate roots first.

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Question 114/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सा दशमलव समाप्य है?

Which decimal is terminating?

Explanation opens after your attempt
Correct Answer

B. \(\frac{11}{50}\)

Explanation

Simple Explanation

हर में केवल 2 और 5 हैं। / Denominator contains only 2 and 5.

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Question 115/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि (p) परिमेय और (q) अपरिमेय है तो (pq) क्या हो सकता है?

If (p) is rational and (q) is irrational then (pq) can be?

Explanation opens after your attempt
Correct Answer

C. परिमेय या अपरिमेय

Explanation

Simple Explanation

यदि (p=0) हो तो परिमेय मिलेगा। अन्यथा सामान्यतः अपरिमेय। / If (p=0), the product is rational. Otherwise usually irrational.

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Question 116/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{320}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{320}\)?

Explanation opens after your attempt
Correct Answer

B. \(8\sqrt{5}\)

Explanation

Simple Explanation

\(320=64\times5\)। \(\sqrt{64}=8\)। / \(320=64\times5\). \(\sqrt{64}=8\).

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Question 117/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{144}+\sqrt{196}\) तो (x) क्या है?

If \(x=\sqrt{144}+\sqrt{196}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 26

Explanation

Simple Explanation

(12+14=26)। / (12+14=26).

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Question 118/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सी संख्या \(\sqrt{20}\) और \(\sqrt{30}\) के बीच है?

Which number lies between \(\sqrt{20}\) and \(\sqrt{30}\)?

Explanation opens after your attempt
Correct Answer

B. 5

Explanation

Simple Explanation

\(\sqrt{20}\approx4.47\) और \(\sqrt{30}\approx5.48\)। / \(\sqrt{20}\approx4.47\) and \(\sqrt{30}\approx5.48\).

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Question 119/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{147}+\sqrt{75}\) का मान क्या है?

What is the value of \(\sqrt{147}+\sqrt{75}\)?

Explanation opens after your attempt
Correct Answer

C. \(12\sqrt{3}\)

Explanation

Simple Explanation

\(7\sqrt{3}+5\sqrt{3}=12\sqrt{3}\)। / \(7\sqrt{3}+5\sqrt{3}=12\sqrt{3}\).

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Question 120/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{256}\div\sqrt{16}\) तो (x) क्या है?

If \(x=\sqrt{256}\div\sqrt{16}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 4

Explanation

Simple Explanation

\(16\div4=4\)। / \(16\div4=4\).

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Question 121/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{432}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{432}\)?

Explanation opens after your attempt
Correct Answer

A. \(12\sqrt{3}\)

Explanation

Simple Explanation

\(432=144\times3\)। / \(432=144\times3\).

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Question 122/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{8}\) और \(b=\sqrt{18}\) तो (a+b) क्या है?

If \(a=\sqrt{8}\) and \(b=\sqrt{18}\), what is (a+b)?

Explanation opens after your attempt
Correct Answer

B. \(5\sqrt{2}\)

Explanation

Simple Explanation

\(2\sqrt{2}+3\sqrt{2}=5\sqrt{2}\)। / \(2\sqrt{2}+3\sqrt{2}=5\sqrt{2}\).

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Question 123/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

किस संख्या का दशमलव समाप्य नहीं है?

Which number does not have a terminating decimal?

Explanation opens after your attempt
Correct Answer

C. \(\frac{13}{15}\)

Explanation

Simple Explanation

हर में 3 का गुणनखंड है। / The denominator contains factor 3.

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Question 124/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{225}-\sqrt{144}\) तो (x) क्या है?

If \(x=\sqrt{225}-\sqrt{144}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 3

Explanation

Simple Explanation

(15-12=3)। / (15-12=3).

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Question 125/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{500}-\sqrt{125}\) का मान क्या है?

What is the value of \(\sqrt{500}-\sqrt{125}\)?

Explanation opens after your attempt
Correct Answer

A. \(5\sqrt{5}\)

Explanation

Simple Explanation

\(10\sqrt{5}-5\sqrt{5}=5\sqrt{5}\)। / \(10\sqrt{5}-5\sqrt{5}=5\sqrt{5}\).

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Question 126/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{324}+\sqrt{36}\) तो (x) क्या है?

If \(x=\sqrt{324}+\sqrt{36}\), what is (x)?

Explanation opens after your attempt
Correct Answer

C. 24

Explanation

Simple Explanation

(18+6=24)। / (18+6=24).

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Question 127/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{675}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{675}\)?

Explanation opens after your attempt
Correct Answer

A. \(15\sqrt{3}\)

Explanation

Simple Explanation

\(675=225\times3\)। / \(675=225\times3\).

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Question 128/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{27}\) और \(b=\sqrt{12}\) तो (a-b) क्या है?

If \(a=\sqrt{27}\) and \(b=\sqrt{12}\), what is (a-b)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{3}\)

Explanation

Simple Explanation

\(3\sqrt{3}-2\sqrt{3}=\sqrt{3}\)। / \(3\sqrt{3}-2\sqrt{3}=\sqrt{3}\).

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Question 129/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सा समुच्चय सभी वास्तविक संख्याओं को दर्शाता है?

Which set represents all real numbers?

Explanation opens after your attempt
Correct Answer

A. परिमेय और अपरिमेय का संघ

Explanation

Simple Explanation

वास्तविक = परिमेय ∪ अपरिमेय। / Real = Rational ∪ Irrational.

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Question 130/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{882}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{882}\)?

Explanation opens after your attempt
Correct Answer

C. \(21\sqrt{2}\)

Explanation

Simple Explanation

\(882=441\times2\)। / \(882=441\times2\).

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Question 131/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{400}-\sqrt{225}\) तो (x) क्या है?

If \(x=\sqrt{400}-\sqrt{225}\), what is (x)?

Explanation opens after your attempt
Correct Answer

B. 5

Explanation

Simple Explanation

(20-15=5)। / (20-15=5).

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Question 132/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सी संख्या \(\sqrt{80}\) के सबसे निकट है?

Which number is closest to \(\sqrt{80}\)?

Explanation opens after your attempt
Correct Answer

B. 9

Explanation

Simple Explanation

\(\sqrt{80}\approx8.94\)। / \(\sqrt{80}\approx8.94\).

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Question 133/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{588}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{588}\)?

Explanation opens after your attempt
Correct Answer

C. \(14\sqrt{3}\)

Explanation

Simple Explanation

\(588=196\times3\)। / \(588=196\times3\).

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Question 134/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{50}\) और \(b=\sqrt{8}\) तो (a-b) क्या है?

If \(a=\sqrt{50}\) and \(b=\sqrt{8}\), what is (a-b)?

Explanation opens after your attempt
Correct Answer

A. \(3\sqrt{2}\)

Explanation

Simple Explanation

\(5\sqrt{2}-2\sqrt{2}=3\sqrt{2}\)। / \(5\sqrt{2}-2\sqrt{2}=3\sqrt{2}\).

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Question 135/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{968}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{968}\)?

Explanation opens after your attempt
Correct Answer

C. \(22\sqrt{2}\)

Explanation

Simple Explanation

\(968=484\times2\)। / \(968=484\times2\).

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Question 136/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{529}\div\sqrt{23}\) तो (x) क्या है?

If \(x=\sqrt{529}\div\sqrt{23}\), what is (x)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{23}\)

Explanation

Simple Explanation

\(\sqrt{529}=23\)। फिर \(23/\sqrt{23}=\sqrt{23}\)। / \(\sqrt{529}=23\). Then \(23/\sqrt{23}=\sqrt{23}\).

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Question 137/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{726}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{726}\)?

Explanation opens after your attempt
Correct Answer

B. \(11\sqrt{6}\)

Explanation

Simple Explanation

\(726=121\times6\)। / \(726=121\times6\).

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Question 138/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{288}\) तो (x) का सरल रूप क्या है?

If \(x=\sqrt{288}\), what is the simplified form of (x)?

Explanation opens after your attempt
Correct Answer

B. \(12\sqrt{2}\)

Explanation

Simple Explanation

\(288=144\times2\)। \(\sqrt{144}=12\)। / \(288=144\times2\). \(\sqrt{144}=12\).

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Question 139/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सी संख्या \(\sqrt{41}\) के सबसे निकट है?

Which number is closest to \(\sqrt{41}\)?

Explanation opens after your attempt
Correct Answer

B. 6

Explanation

Simple Explanation

\(\sqrt{41}\approx6.40\)। निकटतम पूर्णांक 6 है। / \(\sqrt{41}\approx6.40\). The nearest integer is 6.

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Question 140/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{32}\) और \(b=\sqrt{18}\) तो (a+b) क्या है?

If \(a=\sqrt{32}\) and \(b=\sqrt{18}\), what is (a+b)?

Explanation opens after your attempt
Correct Answer

C. \(7\sqrt{2}\)

Explanation

Simple Explanation

\(4\sqrt{2}+3\sqrt{2}=7\sqrt{2}\)। / \(4\sqrt{2}+3\sqrt{2}=7\sqrt{2}\).

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Question 141/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{847}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{847}\)?

Explanation opens after your attempt
Correct Answer

A. \(7\sqrt{17}\)

Explanation

Simple Explanation

\(847=49\times17\)। \(\sqrt{49}=7\)। / \(847=49\times17\). \(\sqrt{49}=7\).

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Question 142/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{625}-\sqrt{361}\) तो (x) क्या है?

If \(x=\sqrt{625}-\sqrt{361}\), what is (x)?

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Correct Answer

C. 6

Explanation

Simple Explanation

(25-19=6)। वर्गमूल सही निकालें। / (25-19=6). Evaluate the roots correctly.

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Question 143/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{45}\) और \(b=\sqrt{20}\) तो (ab) क्या है?

If \(a=\sqrt{45}\) and \(b=\sqrt{20}\), what is (ab)?

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Correct Answer

C. 30

Explanation

Simple Explanation

\(\sqrt{45\times20}=\sqrt{900}=30\)। / \(\sqrt{45\times20}=\sqrt{900}=30\).

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Question 144/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सी संख्या \(\sqrt{70}\) और \(\sqrt{90}\) के बीच है?

Which number lies between \(\sqrt{70}\) and \(\sqrt{90}\)?

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Correct Answer

C. 9

Explanation

Simple Explanation

\(\sqrt{70}\approx8.37\) और \(\sqrt{90}\approx9.49\)। / \(\sqrt{70}\approx8.37\) and \(\sqrt{90}\approx9.49\).

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Question 145/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{507}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{507}\)?

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Correct Answer

C. \(13\sqrt{3}\)

Explanation

Simple Explanation

\(507=169\times3\)। \(\sqrt{169}=13\)। / \(507=169\times3\). \(\sqrt{169}=13\).

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Question 146/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(x=\sqrt{441}+\sqrt{324}\) तो (x) क्या है?

If \(x=\sqrt{441}+\sqrt{324}\), what is (x)?

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Correct Answer

C. 39

Explanation

Simple Explanation

(21+18=39)। / (21+18=39).

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Question 147/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{1200}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{1200}\)?

Explanation opens after your attempt
Correct Answer

B. \(20\sqrt{3}\)

Explanation

Simple Explanation

\(1200=400\times3\)। \(\sqrt{400}=20\)। / \(1200=400\times3\). \(\sqrt{400}=20\).

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Question 148/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

यदि \(a=\sqrt{98}\) और \(b=\sqrt{50}\) तो (a-b) क्या है?

If \(a=\sqrt{98}\) and \(b=\sqrt{50}\), what is (a-b)?

Explanation opens after your attempt
Correct Answer

B. \(2\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{98}=7\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\)। इसलिए अंतर \(2\sqrt{2}\) है। / \(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{50}=5\sqrt{2}\). Hence the difference is \(2\sqrt{2}\).

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Question 149/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

कौन-सी संख्या \(\sqrt{95}\) के सबसे निकट है?

Which number is closest to \(\sqrt{95}\)?

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Correct Answer

C. 10

Explanation

Simple Explanation

\(\sqrt{95}\approx9.75\)। निकटतम पूर्णांक 10 है। / \(\sqrt{95}\approx9.75\). The nearest integer is 10.

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Question 150/150 Expert Mathematics Number Systems Real Numbers Class 9 Level 3

\(\sqrt{1452}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{1452}\)?

Explanation opens after your attempt
Correct Answer

C. \(22\sqrt{3}\)

Explanation

Simple Explanation

\(1452=484\times3\)। \(\sqrt{484}=22\), इसलिए \(\sqrt{1452}=22\sqrt{3}\)। / \(\sqrt{1452}=22\sqrt{3}\) because \(1452=484\times3\) and \(\sqrt{484}=22\).

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