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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

यदि \(\sqrt{n}=\frac{p}{q}\) मानकर वर्ग करने पर \(p^2=nq^2\) मिलता है, तो (n=5) होने पर कौन सा प्रमाण शुरू होगा?

If assuming \(\sqrt{n}=\frac{p}{q}\) and squaring gives \(p^2=nq^2\), which proof begins when (n=5)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{5}\) की अपरिमेयता का प्रमाणProof of irrationality of \(\sqrt{5}\)

Step 1

Concept

Putting (n=5) gives the number \(\sqrt{5}\).

Step 2

Why this answer is correct

Squaring gives \(p^2=5q^2\).

Step 3

Exam Tip

This starts the irrationality proof of \(\sqrt{5}\). चरण 1: (n=5) रखने पर संख्या \(\sqrt{5}\) बनती है। चरण 2: वर्ग करने पर \(p^2=5q^2\) मिलेगा। चरण 3: इसी से \(\sqrt{5}\) का अपरिमेयता प्रमाण आगे बढ़ता है।

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