Expert Mathematics Chapter 1: Real Numbers Class 10 Level 15

यदि \(\sqrt{n}\) परिमेय है और (n) धनात्मक पूर्णांक है तो (n) के बारे में क्या सही है?

If \(\sqrt{n}\) is rational and (n) is a positive integer then what is true about (n)?

Explanation opens after your attempt
Correct Answer

C. (n) पूर्ण वर्ग है(n) 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 \(\sqrt{25}=5\).

Step 3

Exam Tip

The square root of a prime number is usually irrational. चरण 1: धनात्मक पूर्णांक का वर्गमूल परिमेय तभी होता है जब वह पूर्ण वर्ग हो। चरण 2: जैसे \(\sqrt{25}=5\) परिमेय है। चरण 3: अभाज्य संख्या का वर्गमूल सामान्यतः अपरिमेय होता है।

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The correct answer is C. (n) पूर्ण वर्ग है / (n) is a perfect square.

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