\(\sqrt{2}\) के प्रमाण में (a) और (b) दोनों सम निकलने के बाद अंतिम निष्कर्ष क्या होगा?

In the proof of \(\sqrt{2}\), after both (a) and (b) become even, what is the final conclusion?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \(\sqrt{2}\) अपरिमेय है\(\sqrt{2}\) is irrational

Step 1

Concept

Both being even contradicts the rational assumption. Therefore \(\sqrt{2}\) is irrational.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{2}\) अपरिमेय है / \(\sqrt{2}\) is irrational. Both being even contradicts the rational assumption. Therefore \(\sqrt{2}\) is irrational.

Step 3

Exam Tip

दोनों सम होने से परिमेय मान्यता में विरोधाभास आता है। इसलिए \(\sqrt{2}\) अपरिमेय है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में (a) और (b) दोनों सम निकलने के बाद अंतिम निष्कर्ष क्या होगा? / In the proof of \(\sqrt{2}\), after both (a) and (b) become even, what is the final conclusion?

Correct Answer: B. \(\sqrt{2}\) अपरिमेय है / \(\sqrt{2}\) is irrational. Explanation: दोनों सम होने से परिमेय मान्यता में विरोधाभास आता है। इसलिए \(\sqrt{2}\) अपरिमेय है। / Both being even contradicts the rational assumption. Therefore \(\sqrt{2}\) is irrational.

Which concept should I revise for this Mathematics MCQ?

Both being even contradicts the rational assumption. Therefore \(\sqrt{2}\) is irrational.

What exam hint can help solve this Mathematics question?

दोनों सम होने से परिमेय मान्यता में विरोधाभास आता है। इसलिए \(\sqrt{2}\) अपरिमेय है।