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rational vs irrational MCQ Questions for Class 10

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2 questions tagged with rational vs irrational.

Question 1/2 Expert Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

कौन सा विकल्प \(\sqrt{0.04}\) का सही प्रकार बताता है?

Which option correctly describes \(\sqrt{0.04}\)?

Explanation opens after your attempt
Correct Answer

B. परिमेय क्योंकि \(\sqrt{0.04}=0.2\)Rational because \(\sqrt{0.04}=0.2\)

Step 1

Concept

\(0.04=\frac{4}{100}\).

Step 2

Why this answer is correct

\(\sqrt{0.04}=\frac{2}{10}=0.2\) which is rational.

Step 3

Exam Tip

Every square root is not irrational. चरण 1: \(0.04=\frac{4}{100}\)। चरण 2: \(\sqrt{0.04}=\frac{2}{10}=0.2\) परिमेय है। चरण 3: हर वर्गमूल अपरिमेय नहीं होता।

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Question 2/2 Expert Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

कौन सा मान परिमेय है?

Which value is rational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{49}\)

Step 1

Concept

The square root of a perfect square is rational.

Step 2

Why this answer is correct

\(\sqrt{49}=7\) so it is rational.

Step 3

Exam Tip

First look for perfect-square factors inside the radical. चरण 1: पूर्ण वर्ग का वर्गमूल परिमेय होता है। चरण 2: \(\sqrt{49}=7\) है इसलिए यह परिमेय है। चरण 3: संख्या के अंदर पूर्ण वर्ग गुणनखंड देखकर सरल करें।

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