\(\sqrt{3}\) के प्रमाण में कौन-सा कथन सही कारण और निष्कर्ष दोनों देता है?
Which statement gives both correct reason and conclusion in the proof of \(\sqrt{3}\)?
Explanation opens after your attempt
B. परिमेय मान्यता से (p,q) दोनों (3) से विभाज्य निकलते हैं इसलिए \(\sqrt{3}\) अपरिमेय हैRational assumption makes both (p,q) divisible by (3), so \(\sqrt{3}\) is irrational
Concept
Common factor (3) in both contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.
Why this answer is correct
The correct answer is B. परिमेय मान्यता से (p,q) दोनों (3) से विभाज्य निकलते हैं इसलिए \(\sqrt{3}\) अपरिमेय है / Rational assumption makes both (p,q) divisible by (3), so \(\sqrt{3}\) is irrational. Common factor (3) in both contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.
Exam Tip
दोनों में (3) सामान्य गुणनखंड मिलना सहभाज्य शर्त से विरोधाभास है। इसलिए \(\sqrt{3}\) अपरिमेय है।
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