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

\(\sqrt{2}\) की अपरिमेयता सिद्ध करते समय कौन सा तथ्य सही तरह से प्रयोग होता है?

Which fact is used correctly while proving the irrationality of \(\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

A. यदि \(p^2\) सम है, तो (p) सम हैIf \(p^2\) is even, then (p) is even

Step 1

Concept

In the proof of \(\sqrt{2}\), \(p^2\) is found even.

Step 2

Why this answer is correct

By the correct rule, (p) is also even.

Step 3

Exam Tip

Then writing (p=2k) gives the same result for (q). चरण 1: \(\sqrt{2}\) के प्रमाण में \(p^2\) सम मिलता है। चरण 2: सही नियम से (p) भी सम होगा। चरण 3: फिर (p=2k) लिखकर (q) के लिए भी यही परिणाम मिलता है।

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