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Mathematics Quiz - Class 9 Mathematics Number Systems...

Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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 11/50 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 12/50 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 13/50 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 14/50 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 15/50 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 16/50 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 17/50 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 18/50 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 19/50 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 20/50 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 21/50 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 22/50 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 23/50 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 24/50 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 25/50 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 26/50 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 27/50 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 28/50 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 29/50 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 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 \(x^2\)?

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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 49/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

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

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

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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 50/50 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)?

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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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Class 9 Mathematics - Number Systems - Exponents Expert Quiz

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

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

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

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निम्न में से कौन अपरिमेय है?

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

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

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कौन सा दशमलव प्रसार अपरिमेय संख्या दर्शाता है?

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

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यदि \(\sqrt{x}=9\) तो (x) क्या है?

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

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

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कौन सा युग्म दोनों परिमेय हैं?

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

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

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कौन सी संख्या सबसे छोटी है?

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

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\(\sqrt{200}\) का सरल रूप क्या है?

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

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कौन सा दशमलव समाप्त होता है?

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

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

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

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वास्तविक संख्याएँ किसका संघ हैं?

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

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

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कौन सी संख्या परिमेय है?

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\(\sqrt{147}\) का सरल रूप क्या है?

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

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कौन सा विकल्प केवल अपरिमेय संख्याएँ रखता है?

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

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

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\(\sqrt{108}\) का सरल रूप क्या है?

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

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कौन सा दशमलव आवर्ती है?

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

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

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कौन सा विकल्प वास्तविक संख्या है?

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\(\sqrt{300}\) का सरल रूप क्या है?

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

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कौन सा विकल्प केवल परिमेय संख्याएँ रखता है?

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