Expert Mathematics Chapter 1: Real Numbers Class 10 Level 16

कौन-सा विकल्प \(\sqrt{2}\) की अपरिमेयता के प्रमाण में गलत तर्क दिखाता है?

Which option shows an incorrect argument in the proof of irrationality of \(\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

A. \(p^2\) सम है इसलिए (p) विषम है\(p^2\) is even, so (p) is odd

Step 1

Concept

If \(p^2\) is even, then (p) is even.

Step 2

Why this answer is correct

Calling (p) odd violates the parity rule.

Step 3

Exam Tip

In error-based questions, check small rules carefully. चरण 1: यदि \(p^2\) सम है, तो (p) सम होगा। चरण 2: (p) को विषम कहना सम-विषम नियम के विरुद्ध है। चरण 3: गलती पहचानने वाले प्रश्नों में छोटे नियम बहुत ध्यान से जाँचें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. \(p^2\) सम है इसलिए (p) विषम है / \(p^2\) is even, so (p) is odd.

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