Hard Mathematics Chapter 1: Real Numbers Class 10 Level 17

कौन सा विकल्प \(\sqrt{5}\) को परिमेय बताने वाले गलत तर्क का सही सुधार है?

Which option is the correct correction of the wrong argument that \(\sqrt{5}\) is rational?

Explanation opens after your attempt
Correct Answer

A. (5) परिमेय है, पर उसका वर्गमूल परिमेय होना जरूरी नहीं(5) is rational, but its square root need not be rational

Step 1

Concept

(5) is rational, but it is not a perfect square.

Step 2

Why this answer is correct

The square root of a non-perfect square need not be rational.

Step 3

Exam Tip

The proof of \(\sqrt{5}\) shows it is irrational. चरण 1: (5) परिमेय है, लेकिन पूर्ण वर्ग नहीं है। चरण 2: अपूर्ण वर्ग का वर्गमूल परिमेय होना जरूरी नहीं। चरण 3: \(\sqrt{5}\) की सिद्धि दिखाती है कि यह अपरिमेय है।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. (5) परिमेय है, पर उसका वर्गमूल परिमेय होना जरूरी नहीं / (5) is rational, but its square root need not be rational.

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