\(\sqrt{2}\) के प्रमाण में \(m^2=2n^2\) से सीधे (n) सम लिखना क्यों अधूरा है?
In the proof of \(\sqrt{2}\), why is it incomplete to write directly from \(m^2=2n^2\) that (n) is even?
Explanation opens after your attempt
Correct Answer
A. पहले (m) सम सिद्ध करके (m=2r) रखना पड़ता हैFirst (m) must be proved even and (m=2r) must be used
Concept
From \(m^2=2n^2\), (m) is proved even first. Only after putting (m=2r), \(n^2=2r^2\) is obtained.
Why this answer is correct
The correct answer is A. पहले (m) सम सिद्ध करके (m=2r) रखना पड़ता है / First (m) must be proved even and (m=2r) must be used. From \(m^2=2n^2\), (m) is proved even first. Only after putting (m=2r), \(n^2=2r^2\) is obtained.
Exam Tip
\(m^2=2n^2\) से पहले (m) सम मिलता है। (m=2r) रखने पर ही \(n^2=2r^2\) बनता है।
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