Medium Mathematics Chapter 1: Real Numbers Class 10 Level 17

\(\sqrt{2}\) की सिद्धि में कौन सा कथन सही है लेकिन अधूरा निष्कर्ष है?

In the proof of \(\sqrt{2}\), which statement is correct but an incomplete conclusion?

Explanation opens after your attempt
Correct Answer

A. \(p^2=2q^2\) से \(p^2\) सम हैFrom \(p^2=2q^2\), \(p^2\) is even

Step 1

Concept

From \(p^2=2q^2\), saying \(p^2\) is even is correct.

Step 2

Why this answer is correct

But it is not the final conclusion; both (p) and (q) must then be shown even.

Step 3

Exam Tip

Complete the proof up to contradiction. चरण 1: \(p^2=2q^2\) से \(p^2\) सम होना सही है। चरण 2: पर यह अंतिम निष्कर्ष नहीं है, इसके बाद (p) और (q) दोनों सम दिखाने होंगे। चरण 3: प्रमाण को विरोधाभास तक पूरा करें।

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The correct answer is A. \(p^2=2q^2\) से \(p^2\) सम है / From \(p^2=2q^2\), \(p^2\) is even.

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