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

\(\sqrt{3}\) की अपरिमेयता की सिद्धि में अंतिम निष्कर्ष से ठीक पहले कौन सा कथन होना चाहिए?

In the proof of irrationality of \(\sqrt{3}\), which statement should come just before the final conclusion?

Explanation opens after your attempt
Correct Answer

A. (p) और (q) दोनों (3) से विभाज्य हैं, जो सहअभाज्य होने के विरुद्ध हैBoth (p) and (q) are divisible by (3), which contradicts being coprime

Step 1

Concept

The proof shows both (p) and (q) are divisible by (3).

Step 2

Why this answer is correct

This contradicts their coprime condition.

Step 3

Exam Tip

After this, the final conclusion is written that \(\sqrt{3}\) is irrational. चरण 1: प्रमाण में (p) और (q) दोनों (3) से विभाज्य सिद्ध होते हैं। चरण 2: यह उनके सहअभाज्य होने की शर्त से टकराता है। चरण 3: इसके बाद अंतिम निष्कर्ष लिखा जाता है कि \(\sqrt{3}\) अपरिमेय है।

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