Hard Mathematics Chapter 1: Real Numbers Class 10 Level 18

\(\sqrt{5}\) के प्रमाण में यदि (a=5k) रखा जाए, तो (b) के बारे में क्या सिद्ध होता है?

In the proof for \(\sqrt{5}\), if (a=5k), what is proved about (b)?

Explanation opens after your attempt
Correct Answer

A. (b) (5) से विभाज्य है(b) is divisible by (5)

Step 1

Concept

In \(a^2=5b^2\), putting (a=5k) gives \(25k^2=5b^2\).

Step 2

Why this answer is correct

Simplifying gives \(b^2=5k^2\), so \(5\mid b^2\) and \(5\mid b\).

Step 3

Exam Tip

This is the final step against coprimality. चरण 1: \(a^2=5b^2\) में (a=5k) रखने पर \(25k^2=5b^2\) मिलता है। चरण 2: सरल करने पर \(b^2=5k^2\), इसलिए \(5\mid b^2\) और \(5\mid b\)। चरण 3: यही सहअभाज्यता के विरुद्ध अंतिम कदम है।

FAQs

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. (b) (5) से विभाज्य है / (b) is divisible by (5).

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