Concept-wise Practice

fraction square root MCQ Questions for Class 10

fraction square root se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

4 questions tagged with fraction square root.

संख्या रेखा पर \( \sqrt{\frac{81}{196}} \) किस बिंदु के बराबर है?

On the number line, \( \sqrt{\frac{81}{196}} \) is equal to which point?

Explanation opens after your attempt
Correct Answer

A. \( \frac{9}{14} \)

Step 1

Concept

\( \sqrt{\frac{81}{196}}=\frac{9}{14} \). Take the positive square root of both numerator and denominator.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{9}{14} \). \( \sqrt{\frac{81}{196}}=\frac{9}{14} \). Take the positive square root of both numerator and denominator.

Step 3

Exam Tip

\( \sqrt{\frac{81}{196}}=\frac{9}{14} \) है। अंश और हर दोनों का धनात्मक वर्गमूल लें।

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संख्या रेखा पर \( \sqrt{\frac{25}{16}} \) किस बिंदु के बराबर है?

On the number line, \( \sqrt{\frac{25}{16}} \) is equal to which point?

Explanation opens after your attempt
Correct Answer

A. \( \frac{5}{4}\)

Step 1

Concept

\( \sqrt{\frac{25}{16}}=\frac{5}{4}\) because the principal square root is positive. Take the root of both numerator and denominator.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{5}{4}\). \( \sqrt{\frac{25}{16}}=\frac{5}{4}\) because the principal square root is positive. Take the root of both numerator and denominator.

Step 3

Exam Tip

\( \sqrt{\frac{25}{16}}=\frac{5}{4}\) क्योंकि धनात्मक वर्गमूल लिया जाता है। भिन्न के वर्गमूल में अंश और हर दोनों का मूल लें।

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कौन सा विकल्प \(\sqrt{\frac{49}{64}}\) का मान है?

Which option is the value of \(\sqrt{\frac{49}{64}}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{7}{8}\)

Step 1

Concept

\(\sqrt{\frac{49}{64}}=\frac{\sqrt{49}}{\sqrt{64}}=\frac{7}{8}\). This is a rational number.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{7}{8}\). \(\sqrt{\frac{49}{64}}=\frac{\sqrt{49}}{\sqrt{64}}=\frac{7}{8}\). This is a rational number.

Step 3

Exam Tip

\(\sqrt{\frac{49}{64}}=\frac{\sqrt{49}}{\sqrt{64}}=\frac{7}{8}\) है। यह परिमेय संख्या है।

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कौन सा विकल्प \(\sqrt{\frac{2}{9}}\) का सही प्रकार बताता है?

Which option correctly describes \(\sqrt{\frac{2}{9}}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय क्योंकि \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\)Irrational because \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\)

Step 1

Concept

\(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\).

Step 2

Why this answer is correct

\(\sqrt{2}\) is irrational and remains irrational after division by (3).

Step 3

Exam Tip

Check both numerator and denominator of the fraction. चरण 1: \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\)। चरण 2: \(\sqrt{2}\) अपरिमेय है और (3) से भाग देने पर भी अपरिमेय रहता है। चरण 3: भिन्न के अंश और हर दोनों को जांचें।

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