\(\sqrt{2}\) के प्रमाण में (m) और (n) दोनों सम निकलने पर महत्तम समापवर्तक के बारे में क्या सही है?

In the proof of \(\sqrt{2}\), if both (m) and (n) are even, what is true about their highest common factor?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. कम से कम (2) होगाIt will be at least (2)

Step 1

Concept

If both are even, both are divisible by (2). So the highest common factor cannot remain (1).

Step 2

Why this answer is correct

The correct answer is C. कम से कम (2) होगा / It will be at least (2). If both are even, both are divisible by (2). So the highest common factor cannot remain (1).

Step 3

Exam Tip

दोनों सम होने पर दोनों (2) से विभाज्य हैं। इसलिए महत्तम समापवर्तक (1) नहीं रह सकता।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में (m) और (n) दोनों सम निकलने पर महत्तम समापवर्तक के बारे में क्या सही है? / In the proof of \(\sqrt{2}\), if both (m) and (n) are even, what is true about their highest common factor?

Correct Answer: C. कम से कम (2) होगा / It will be at least (2). Explanation: दोनों सम होने पर दोनों (2) से विभाज्य हैं। इसलिए महत्तम समापवर्तक (1) नहीं रह सकता। / If both are even, both are divisible by (2). So the highest common factor cannot remain (1).

Which concept should I revise for this Mathematics MCQ?

If both are even, both are divisible by (2). So the highest common factor cannot remain (1).

What exam hint can help solve this Mathematics question?

दोनों सम होने पर दोनों (2) से विभाज्य हैं। इसलिए महत्तम समापवर्तक (1) नहीं रह सकता।