किस विकल्प में \(\sqrt{3}\) के प्रमाण का सही निष्कर्ष और कारण है?
Which option gives the correct conclusion and reason for the proof of \(\sqrt{3}\)?
Explanation opens after your attempt
Correct Answer
B. अपरिमेय क्योंकि परिमेय मान्यता से दोनों (3) से विभाज्य मिलते हैंIrrational because rational assumption makes both divisible by (3)
Concept
Both being divisible by (3) contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.
Why this answer is correct
The correct answer is B. अपरिमेय क्योंकि परिमेय मान्यता से दोनों (3) से विभाज्य मिलते हैं / Irrational because rational assumption makes both divisible by (3). Both being divisible by (3) contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.
Exam Tip
दोनों का (3) से विभाज्य होना सहभाज्य शर्त से विरोधाभास है। इसलिए \(\sqrt{3}\) अपरिमेय है।
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