यदि \(\sqrt{2}\) के प्रमाण में कोई छात्र \(a^2=2b^2\) को (a=2b) लिख देता है तो गलती क्या है?
If a student writes (a=2b) from \(a^2=2b^2\) in the proof of \(\sqrt{2}\), what is the mistake?
Explanation opens after your attempt
Correct Answer
A. वर्गमूल लेने पर सीधे ऐसा निष्कर्ष नहीं मिलताTaking square root does not directly give that conclusion
Concept
From \(a^2=2b^2\), we get only that \(a^2\) is even and then (a) is even. Writing (a=2b) directly is not correct.
Why this answer is correct
The correct answer is A. वर्गमूल लेने पर सीधे ऐसा निष्कर्ष नहीं मिलता / Taking square root does not directly give that conclusion. From \(a^2=2b^2\), we get only that \(a^2\) is even and then (a) is even. Writing (a=2b) directly is not correct.
Exam Tip
\(a^2=2b^2\) से केवल \(a^2\) सम और फिर (a) सम मिलता है। सीधे (a=2b) लिखना सही नहीं है।
Login to save your score, XP, coins and progress.