किस विकल्प में \(\sqrt{2}\) के प्रमाण का सही निष्कर्ष और उसका आधार साथ-साथ दिया है?
Which option gives the correct conclusion and its basis for the proof of \(\sqrt{2}\)?
Explanation opens after your attempt
A. \(\sqrt{2}\) अपरिमेय है क्योंकि सरलतम भिन्न के अंश और हर दोनों सम निकलते हैं\(\sqrt{2}\) is irrational because numerator and denominator of a lowest fraction both become even
Concept
Both even contradicts lowest coprime form. Therefore the rational assumption is false.
Why this answer is correct
The correct answer is A. \(\sqrt{2}\) अपरिमेय है क्योंकि सरलतम भिन्न के अंश और हर दोनों सम निकलते हैं / \(\sqrt{2}\) is irrational because numerator and denominator of a lowest fraction both become even. Both even contradicts lowest coprime form. Therefore the rational assumption is false.
Exam Tip
दोनों सम होना सरलतम सहभाज्य रूप से विरोधाभास है। इसलिए परिमेय मान्यता गलत होती है।
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