\(\sqrt{2}\) के प्रमाण में (\gcd(x,y)=1) लिखना क्यों निर्णायक है?
Why is writing (\gcd(x,y)=1) decisive in the proof of \(\sqrt{2}\)?
Explanation opens after your attempt
Correct Answer
A. क्योंकि अंत में (x,y) दोनों (2) से विभाज्य मिलते हैंBecause finally both (x,y) are found divisible by (2)
Concept
(\gcd(x,y)=1) is the lowest-form condition. Common factor (2) in both conflicts with it.
Why this answer is correct
The correct answer is A. क्योंकि अंत में (x,y) दोनों (2) से विभाज्य मिलते हैं / Because finally both (x,y) are found divisible by (2). (\gcd(x,y)=1) is the lowest-form condition. Common factor (2) in both conflicts with it.
Exam Tip
(\gcd(x,y)=1) सरलतम रूप की शर्त है। दोनों में (2) सामान्य मिलना इसी से टकराता है।
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