Class 9 Mathematics - Number Systems - Square root spiral Easy Quiz

Mathematics Number Systems Square root spiral Easy Class 9 Level 6

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Question 1/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{64} \) किस प्रकार की वास्तविक संख्या है?

What type of real number is \( \sqrt{64} \)?

Explanation opens after your attempt

Correct Answer

A. परिमेय वास्तविक संख्याRational real number

Step 1

Concept

\( \sqrt{64}=8 \) and (8) is rational. The square root of a perfect square is rational.

Step 2

Why this answer is correct

The correct answer is A. परिमेय वास्तविक संख्या / Rational real number. \( \sqrt{64}=8 \) and (8) is rational. The square root of a perfect square is rational.

Step 3

Exam Tip

\( \sqrt{64}=8 \) है और (8) परिमेय संख्या है। पूर्ण वर्ग का वर्गमूल परिमेय होता है।

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Question 2/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{2}\times\sqrt{50} \) का मान क्या है?

What is the value of \( \sqrt{2}\times\sqrt{50} \)?

Explanation opens after your attempt

Correct Answer

D. (10)

Step 1

Concept

\( \sqrt{2}\times\sqrt{50}=\sqrt{100}=10 \). In multiplication, multiply the numbers inside square roots.

Step 2

Why this answer is correct

The correct answer is D. (10). \( \sqrt{2}\times\sqrt{50}=\sqrt{100}=10 \). In multiplication, multiply the numbers inside square roots.

Step 3

Exam Tip

\( \sqrt{2}\times\sqrt{50}=\sqrt{100}=10 \)। गुणा में वर्गमूल के अंदर की संख्याएँ गुणा करें।

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Question 3/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

( \(3+\sqrt{2}\)\(3-\sqrt{2}\) ) का मान क्या है?

What is the value of ( \(3+\sqrt{2}\)\(3-\sqrt{2}\) )?

Explanation opens after your attempt

Correct Answer

A. (7)

Step 1

Concept

(3²-\(\sqrt{2}\)²=9-2=7). Multiplying conjugates often gives a rational answer.

Step 2

Why this answer is correct

The correct answer is A. (7). (3²-\(\sqrt{2}\)²=9-2=7). Multiplying conjugates often gives a rational answer.

Step 3

Exam Tip

(3²-\(\sqrt{2}\)²=9-2=7) होता है। संयुग्मी का गुणन अक्सर परिमेय उत्तर देता है।

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Question 4/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{3} \) और \( \sqrt{12} \) में कौन बड़ी है?

Which is greater between \( \sqrt{3} \) and \( \sqrt{12} \)?

Explanation opens after your attempt

Correct Answer

C. \( \sqrt{12} \)

Step 1

Concept

Since (12>3), \( \sqrt{12}>\sqrt{3} \). For positive numbers, a larger radicand gives a larger square root.

Step 2

Why this answer is correct

The correct answer is C. \( \sqrt{12} \). Since (12>3), \( \sqrt{12}>\sqrt{3} \). For positive numbers, a larger radicand gives a larger square root.

Step 3

Exam Tip

क्योंकि (12>3) है इसलिए \( \sqrt{12}>\sqrt{3} \)। धनात्मक संख्याओं में बड़ा आधार बड़ा वर्गमूल देता है।

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Question 5/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{1.44} \) का मान क्या है?

What is the value of \( \sqrt{1.44} \)?

Explanation opens after your attempt

Correct Answer

C. (1.2)

Step 1

Concept

\(1.2^2=1.44\), so \( \sqrt{1.44}=1.2 \). Be careful with place value in decimal square roots.

Step 2

Why this answer is correct

The correct answer is C. (1.2). \(1.2^2=1.44\), so \( \sqrt{1.44}=1.2 \). Be careful with place value in decimal square roots.

Step 3

Exam Tip

\(1.2^2=1.44\) इसलिए \( \sqrt{1.44}=1.2 \)। दशमलव वर्गमूल में स्थान मान ध्यान रखें।

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Question 6/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{2.25} \) का मान क्या है?

What is the value of \( \sqrt{2.25} \)?

Explanation opens after your attempt

Correct Answer

B. (1.5)

Step 1

Concept

\(1.5^2=2.25\), so \( \sqrt{2.25}=1.5 \). Check the answer by squaring it.

Step 2

Why this answer is correct

The correct answer is B. (1.5). \(1.5^2=2.25\), so \( \sqrt{2.25}=1.5 \). Check the answer by squaring it.

Step 3

Exam Tip

\(1.5^2=2.25\) इसलिए \( \sqrt{2.25}=1.5 \)। उत्तर को वर्ग करके जाँचें।

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Question 7/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{\frac{25}{36}} \) का मान क्या है?

What is the value of \( \sqrt{\frac{25}{36}} \)?

Explanation opens after your attempt

Correct Answer

C. \( \frac{5}{6} \)

Step 1

Concept

Take the square roots of numerator and denominator separately. \( \sqrt{\frac{25}{36}}=\frac{5}{6} \).

Step 2

Why this answer is correct

The correct answer is C. \( \frac{5}{6} \). Take the square roots of numerator and denominator separately. \( \sqrt{\frac{25}{36}}=\frac{5}{6} \).

Step 3

Exam Tip

अंश और हर के वर्गमूल अलग-अलग लें। \( \sqrt{\frac{25}{36}}=\frac{5}{6} \) है।

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Question 8/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{\frac{121}{144}} \) किसके बराबर है?

What is \( \sqrt{\frac{121}{144}} \) equal to?

Explanation opens after your attempt

Correct Answer

A. \( \frac{11}{12} \)

Step 1

Concept

\( \sqrt{121}=11 \) and \( \sqrt{144}=12 \). Therefore the answer is \( \frac{11}{12} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{11}{12} \). \( \sqrt{121}=11 \) and \( \sqrt{144}=12 \). Therefore the answer is \( \frac{11}{12} \).

Step 3

Exam Tip

\( \sqrt{121}=11 \) और \( \sqrt{144}=12 \) है। इसलिए उत्तर \( \frac{11}{12} \) है।

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Question 9/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{13}\times\sqrt{13} \) का मान क्या है?

What is the value of \( \sqrt{13}\times\sqrt{13} \)?

Explanation opens after your attempt

Correct Answer

D. (13)

Step 1

Concept

Multiplying the same square root by itself gives the number inside. Therefore \( \sqrt{13}\times\sqrt{13}=13 \).

Step 2

Why this answer is correct

The correct answer is D. (13). Multiplying the same square root by itself gives the number inside. Therefore \( \sqrt{13}\times\sqrt{13}=13 \).

Step 3

Exam Tip

एक ही वर्गमूल को स्वयं से गुणा करने पर अंदर की संख्या मिलती है। इसलिए \( \sqrt{13}\times\sqrt{13}=13 \)।

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Question 10/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

( \(\sqrt{15}\)² ) का मान क्या है?

What is the value of ( \(\sqrt{15}\)² )?

Explanation opens after your attempt

Correct Answer

A. (15)

Step 1

Concept

The square of the square root of a positive number gives the same number. Therefore ( \(\sqrt{15}\)²=15 ).

Step 2

Why this answer is correct

The correct answer is A. (15). The square of the square root of a positive number gives the same number. Therefore ( \(\sqrt{15}\)²=15 ).

Step 3

Exam Tip

किसी धनात्मक संख्या के वर्गमूल का वर्ग वही संख्या देता है। इसलिए ( \(\sqrt{15}\)²=15 )।

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Question 11/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{0}+\sqrt{100} \) का मान क्या है?

What is the value of \( \sqrt{0}+\sqrt{100} \)?

Explanation opens after your attempt

Correct Answer

B. (10)

Step 1

Concept

\( \sqrt{0}=0 \) and \( \sqrt{100}=10 \). Therefore the sum is (10).

Step 2

Why this answer is correct

The correct answer is B. (10). \( \sqrt{0}=0 \) and \( \sqrt{100}=10 \). Therefore the sum is (10).

Step 3

Exam Tip

\( \sqrt{0}=0 \) और \( \sqrt{100}=10 \) है। इसलिए योग (10) है।

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Question 12/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{144}-\sqrt{25} \) का मान क्या है?

What is the value of \( \sqrt{144}-\sqrt{25} \)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

\( \sqrt{144}=12 \) and \( \sqrt{25}=5 \). Therefore the difference is (7).

Step 2

Why this answer is correct

The correct answer is B. (7). \( \sqrt{144}=12 \) and \( \sqrt{25}=5 \). Therefore the difference is (7).

Step 3

Exam Tip

\( \sqrt{144}=12 \) और \( \sqrt{25}=5 \) है। इसलिए अंतर (7) है।

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Question 13/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{121}+\sqrt{169} \) का मान क्या है?

What is the value of \( \sqrt{121}+\sqrt{169} \)?

Explanation opens after your attempt

Correct Answer

B. (24)

Step 1

Concept

\( \sqrt{121}=11 \) and \( \sqrt{169}=13 \). Therefore the sum is (24).

Step 2

Why this answer is correct

The correct answer is B. (24). \( \sqrt{121}=11 \) and \( \sqrt{169}=13 \). Therefore the sum is (24).

Step 3

Exam Tip

\( \sqrt{121}=11 \) और \( \sqrt{169}=13 \) है। इसलिए योग (24) है।

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Question 14/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{225}\div\sqrt{9} \) का मान क्या है?

What is the value of \( \sqrt{225}\div\sqrt{9} \)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

\( \sqrt{225}=15 \) and \( \sqrt{9}=3 \). \(15\div3=5\).

Step 2

Why this answer is correct

The correct answer is C. (5). \( \sqrt{225}=15 \) and \( \sqrt{9}=3 \). \(15\div3=5\).

Step 3

Exam Tip

\( \sqrt{225}=15 \) और \( \sqrt{9}=3 \) है। \(15\div3=5\) होता है।

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Question 15/15 Easy Mathematics Number Systems Real Numbers Class 9 Level 6

\( \sqrt{196} \) का मान क्या है?

What is the value of \( \sqrt{196} \)?

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

Since \(14^2=196\), \( \sqrt{196}=14 \). Recognising perfect squares saves time in exams.

Step 2

Why this answer is correct

The correct answer is C. (14). Since \(14^2=196\), \( \sqrt{196}=14 \). Recognising perfect squares saves time in exams.

Step 3

Exam Tip

\(14^2=196\) इसलिए \( \sqrt{196}=14 \)। पूर्ण वर्गों को पहचानना परीक्षा में समय बचाता है।

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Class 9 Mathematics - Number Systems - Square root spiral Easy Quiz

\( \sqrt{64} \) किस प्रकार की वास्तविक संख्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{2}\times\sqrt{50} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

( \(3+\sqrt{2}\)\(3-\sqrt{2}\) ) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{3} \) और \( \sqrt{12} \) में कौन बड़ी है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{1.44} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{2.25} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{\frac{25}{36}} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{\frac{121}{144}} \) किसके बराबर है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{13}\times\sqrt{13} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

( \(\sqrt{15}\)2 ) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{0}+\sqrt{100} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{144}-\sqrt{25} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{121}+\sqrt{169} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{225}\div\sqrt{9} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\( \sqrt{196} \) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

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( \(\sqrt{15}\)² ) का मान क्या है?