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Question Medium Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

किस प्रमाण में (p) और (q) दोनों सम मिलना अंतिम विरोधाभास देता है?

In which proof does finding both (p) and (q) even give the final contradiction?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\) की अपरिमेयता मेंIn the irrationality of \(\sqrt{2}\)

Step 1

Concept

In the proof of \(\sqrt{2}\), \(p^2=2q^2\) is obtained.

Step 2

Why this answer is correct

This proves both (p) and (q) even.

Step 3

Exam Tip

Both even contradict the coprime condition. चरण 1: \(\sqrt{2}\) के प्रमाण में \(p^2=2q^2\) मिलता है। चरण 2: इससे (p) और (q) दोनों सम सिद्ध होते हैं। चरण 3: दोनों सम होना सहअभाज्य शर्त से विरोधाभास है।

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