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

\(\sqrt{2}\) के प्रमाण में \(p^2=2q^2\) से सीधे क्या नहीं कहना चाहिए?

In the proof of \(\sqrt{2}\), what should not be said directly from \(p^2=2q^2\)?

Explanation opens after your attempt
Correct Answer

A. (p=q)

Step 1

Concept

From \(p^2=2q^2\), we get that \(p^2\) is even.

Step 2

Why this answer is correct

Then (p) is even and can be written as (p=2k).

Step 3

Exam Tip

Saying (p=q) from this equation is a wrong step. चरण 1: \(p^2=2q^2\) से \(p^2\) सम मिलता है। चरण 2: फिर (p) सम और (p=2k) लिखा जा सकता है। चरण 3: इस समीकरण से (p=q) कहना गलत कदम है।

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