किस विकल्प में \(\sqrt{2}\) के प्रमाण का सही विरोधाभास लिखा है?
Which option correctly states the contradiction in the proof of \(\sqrt{2}\)?
Explanation opens after your attempt
Correct Answer
A. (a) और (b) दोनों सम हैं जबकि वे सहभाज्य माने गए थेBoth (a) and (b) are even although they were assumed coprime
Concept
Both even gives common factor (2). This directly contradicts the coprime assumption.
Why this answer is correct
The correct answer is A. (a) और (b) दोनों सम हैं जबकि वे सहभाज्य माने गए थे / Both (a) and (b) are even although they were assumed coprime. Both even gives common factor (2). This directly contradicts the coprime assumption.
Exam Tip
दोनों सम होने से सामान्य गुणनखंड (2) मिलता है। यह सहभाज्य मान्यता से सीधा विरोधाभास है।
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