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

\(\sqrt{3}\) के प्रमाण में \(p^2=3q^2\) से (p) के (3) से विभाज्य होने के बाद (q) तक पहुँचने का सही रास्ता क्या है?

In the proof for \(\sqrt{3}\), after \(p^2=3q^2\) shows (p) divisible by (3), what is the correct path to reach (q)?

Explanation opens after your attempt
Correct Answer

A. (p=3k) रखकर \(q^2=3k^2\) पानाPut (p=3k) and get \(q^2=3k^2\)

Step 1

Concept

From \(3\mid p\), write (p=3k).

Step 2

Why this answer is correct

Substituting in \(p^2=3q^2\) gives \(q^2=3k^2\).

Step 3

Exam Tip

Then \(3\mid q\) is proved. चरण 1: \(3\mid p\) से (p=3k) लिखा जाता है। चरण 2: इसे \(p^2=3q^2\) में रखने पर \(q^2=3k^2\) मिलता है। चरण 3: फिर \(3\mid q\) साबित होता है।

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