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

कौन सा कथन \(\sqrt{3}\) के प्रमाण में (b) के बारे में अंतिम निष्कर्ष को सही बताता है?

Which statement correctly tells the final conclusion about (b) in the proof of \(\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. (b) (3) से विभाज्य है(b) is divisible by (3)

Step 1

Concept

After substituting (a=3k), we get \(b^2=3k^2\).

Step 2

Why this answer is correct

Hence \(b^2\) is divisible by (3).

Step 3

Exam Tip

By the prime rule, (b) is also divisible by (3). चरण 1: (a=3k) रखने के बाद \(b^2=3k^2\) मिलता है। चरण 2: इसलिए \(b^2\) (3) से विभाज्य है। चरण 3: अभाज्य नियम से (b) भी (3) से विभाज्य होगा।

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