\(\sqrt{2}\) के प्रमाण में (a) और (b) दोनों सम निकलने पर विरोधाभास क्यों होता है?
In the proof of \(\sqrt{2}\), why is it a contradiction when both (a) and (b) are even?
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Correct Answer
A. क्योंकि वे सहभाज्य नहीं रह सकतेBecause they cannot remain coprime
Concept
If both are even, (2) is a common factor. This contradicts the coprime condition of lowest form.
Why this answer is correct
The correct answer is A. क्योंकि वे सहभाज्य नहीं रह सकते / Because they cannot remain coprime. If both are even, (2) is a common factor. This contradicts the coprime condition of lowest form.
Exam Tip
दोनों सम होने पर (2) सामान्य गुणनखंड होगा। यह सरलतम रूप की सहभाज्य शर्त के विरुद्ध है।
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