Easy Mathematics Chapter 1: Real Numbers Class 10 Level 17

किस प्रमाण में अभाज्य गुणनखंड (5) का उपयोग मुख्य रूप से होता है?

In which proof is the prime factor (5) used mainly?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{5}\) की अपरिमेयता के प्रमाण मेंIn the proof of irrationality of \(\sqrt{5}\)

Step 1

Concept

Assuming \(\sqrt{5}\) rational gives \(a^2=5b^2\).

Step 2

Why this answer is correct

Here prime factor (5) is the key.

Step 3

Exam Tip

It leads to common factor (5) in both numbers. चरण 1: \(\sqrt{5}\) को परिमेय मानने पर \(a^2=5b^2\) मिलता है। चरण 2: यहां (5) अभाज्य गुणनखंड मुख्य है। चरण 3: इसी से दोनों संख्याओं में (5) साझा गुणनखंड मिलता है।

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The correct answer is A. \(\sqrt{5}\) की अपरिमेयता के प्रमाण में / In the proof of irrationality of \(\sqrt{5}\).

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