Medium Mathematics Chapter 1: Real Numbers Class 10 Level 13

यदि \(\sqrt{m}\) परिमेय है और (m) धनात्मक पूर्णांक है, तो (m) के बारे में कौन-सा कथन सही है?

If \(\sqrt{m}\) is rational and (m) is a positive integer, which statement about (m) is correct?

Explanation opens after your attempt
Correct Answer

A. (m) पूर्ण वर्ग है(m) is a perfect square

Step 1

Concept

The square root of a positive integer is rational only when the integer is a perfect square.

Step 2

Why this answer is correct

For example, (25) is a perfect square and \(\sqrt{25}=5\) is rational.

Step 3

Exam Tip

In square-root questions, identify perfect squares first. चरण 1: किसी धनात्मक पूर्णांक का वर्गमूल परिमेय तभी होता है जब वह पूर्ण वर्ग हो। चरण 2: जैसे (25) पूर्ण वर्ग है और \(\sqrt{25}=5\) परिमेय है। चरण 3: वर्गमूल वाले प्रश्नों में पूर्ण वर्ग की पहचान सबसे पहले करें।

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The correct answer is A. (m) पूर्ण वर्ग है / (m) is a perfect square.

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