किस विकल्प में \(\sqrt{2}\) के प्रमाण की गलत जल्दबाजी दिखाई गई है?

Which option shows a wrong shortcut in the proof of \(\sqrt{2}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

D. \(m^2=2n^2\) से सीधे (m=2n)From \(m^2=2n^2\), directly (m=2n)

Step 1

Concept

The square relation does not directly give (m=2n). The correct conclusion first is only that (m) is even.

Step 2

Why this answer is correct

The correct answer is D. \(m^2=2n^2\) से सीधे (m=2n) / From \(m^2=2n^2\), directly (m=2n). The square relation does not directly give (m=2n). The correct conclusion first is only that (m) is even.

Step 3

Exam Tip

वर्ग संबंध से सीधे (m=2n) नहीं मिलता। सही निष्कर्ष पहले केवल (m) का सम होना है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{2}\) के प्रमाण की गलत जल्दबाजी दिखाई गई है? / Which option shows a wrong shortcut in the proof of \(\sqrt{2}\)?

Correct Answer: D. \(m^2=2n^2\) से सीधे (m=2n) / From \(m^2=2n^2\), directly (m=2n). Explanation: वर्ग संबंध से सीधे (m=2n) नहीं मिलता। सही निष्कर्ष पहले केवल (m) का सम होना है। / The square relation does not directly give (m=2n). The correct conclusion first is only that (m) is even.

Which concept should I revise for this Mathematics MCQ?

The square relation does not directly give (m=2n). The correct conclusion first is only that (m) is even.

What exam hint can help solve this Mathematics question?

वर्ग संबंध से सीधे (m=2n) नहीं मिलता। सही निष्कर्ष पहले केवल (m) का सम होना है।