यदि \(x^2\) सम है तो (x) सम है। यह कथन किस प्रमाण में मुख्य रूप से प्रयोग होता है?

If \(x^2\) is even then (x) is even. This statement is mainly used in which proof?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(\sqrt{2}\) की अपरिमेयताIrrationality of \(\sqrt{2}\)

Step 1

Concept

In the proof of \(\sqrt{2}\), (a) is concluded even from \(a^2\) being even. This is the main argument.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{2}\) की अपरिमेयता / Irrationality of \(\sqrt{2}\). In the proof of \(\sqrt{2}\), (a) is concluded even from \(a^2\) being even. This is the main argument.

Step 3

Exam Tip

\(\sqrt{2}\) के प्रमाण में \(a^2\) सम होने से (a) सम निकाला जाता है। यही मुख्य तर्क है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x^2\) सम है तो (x) सम है। यह कथन किस प्रमाण में मुख्य रूप से प्रयोग होता है? / If \(x^2\) is even then (x) is even. This statement is mainly used in which proof?

Correct Answer: A. \(\sqrt{2}\) की अपरिमेयता / Irrationality of \(\sqrt{2}\). Explanation: \(\sqrt{2}\) के प्रमाण में \(a^2\) सम होने से (a) सम निकाला जाता है। यही मुख्य तर्क है। / In the proof of \(\sqrt{2}\), (a) is concluded even from \(a^2\) being even. This is the main argument.

Which concept should I revise for this Mathematics MCQ?

In the proof of \(\sqrt{2}\), (a) is concluded even from \(a^2\) being even. This is the main argument.

What exam hint can help solve this Mathematics question?

\(\sqrt{2}\) के प्रमाण में \(a^2\) सम होने से (a) सम निकाला जाता है। यही मुख्य तर्क है।