\(\sqrt{2}\) के प्रमाण में \(m^2=2n^2\) से सीधे (n) सम लिखना क्यों गलत या अधूरा है?

Why is it wrong or incomplete to write (n) even directly from \(m^2=2n^2\) in the proof of \(\sqrt{2}\)?

Author: Muft Shiksha Editorial Team Published: Updated:
Explanation opens after your attempt
Correct Answer

A. पहले (m) सम सिद्ध करके (m=2k) रखना पड़ता हैFirst (m) must be proved even and (m=2k) must be used

Step 1

Concept

\(m^2=2n^2\) does not directly give (n) even. After putting (m=2k), \(n^2=2k^2\) is obtained.

Step 2

Why this answer is correct

The correct answer is A. पहले (m) सम सिद्ध करके (m=2k) रखना पड़ता है / First (m) must be proved even and (m=2k) must be used. \(m^2=2n^2\) does not directly give (n) even. After putting (m=2k), \(n^2=2k^2\) is obtained.

Step 3

Exam Tip

\(m^2=2n^2\) से सीधे (n) सम नहीं मिलता। (m=2k) रखने के बाद \(n^2=2k^2\) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में \(m^2=2n^2\) से सीधे (n) सम लिखना क्यों गलत या अधूरा है? / Why is it wrong or incomplete to write (n) even directly from \(m^2=2n^2\) in the proof of \(\sqrt{2}\)?

Correct Answer: A. पहले (m) सम सिद्ध करके (m=2k) रखना पड़ता है / First (m) must be proved even and (m=2k) must be used. Explanation: \(m^2=2n^2\) से सीधे (n) सम नहीं मिलता। (m=2k) रखने के बाद \(n^2=2k^2\) मिलता है। / \(m^2=2n^2\) does not directly give (n) even. After putting (m=2k), \(n^2=2k^2\) is obtained.

Which concept should I revise for this Mathematics MCQ?

\(m^2=2n^2\) does not directly give (n) even. After putting (m=2k), \(n^2=2k^2\) is obtained.

What exam hint can help solve this Mathematics question?

\(m^2=2n^2\) से सीधे (n) सम नहीं मिलता। (m=2k) रखने के बाद \(n^2=2k^2\) मिलता है।