किस विकल्प में \(\sqrt{3}\) की अपरिमेयता का निष्कर्ष और कारण सही जोड़ा गया है?
Which option correctly pairs the conclusion and reason for irrationality of \(\sqrt{3}\)?
Explanation opens after your attempt
D. \(\sqrt{3}\) अपरिमेय है क्योंकि सरलतम भिन्न के अंश और हर दोनों (3) से विभाज्य निकलते हैं\(\sqrt{3}\) is irrational because numerator and denominator of a lowest fraction both become divisible by (3)
Concept
If both are divisible by (3), they cannot be coprime. Therefore the rational assumption is false.
Why this answer is correct
The correct answer is D. \(\sqrt{3}\) अपरिमेय है क्योंकि सरलतम भिन्न के अंश और हर दोनों (3) से विभाज्य निकलते हैं / \(\sqrt{3}\) is irrational because numerator and denominator of a lowest fraction both become divisible by (3). If both are divisible by (3), they cannot be coprime. Therefore the rational assumption is false.
Exam Tip
दोनों (3) से विभाज्य हों तो वे सहभाज्य नहीं हो सकते। इसलिए परिमेय मान्यता गलत है।
Login to save your score, XP, coins and progress.
