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

किस विकल्प में \(\sqrt{3}\) के प्रमाण में (p=3r) लिखने का सही आधार है?

Which option gives the correct basis for writing (p=3r) in the proof for \(\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. \(3\mid p\) सिद्ध हो चुका है\(3\mid p\) has been proved

Step 1

Concept

From \(p^2=3q^2\), we get \(3\mid p^2\).

Step 2

Why this answer is correct

By the prime rule, \(3\mid p\), so (p=3r) can be written.

Step 3

Exam Tip

Give the reason before writing such a form. चरण 1: \(p^2=3q^2\) से \(3\mid p^2\) मिलता है। चरण 2: अभाज्य नियम से \(3\mid p\), इसलिए (p=3r) लिखा जा सकता है। चरण 3: कोई रूप लिखने से पहले उसका कारण जरूर दें।

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