यदि कोई प्रमाण \(\sqrt{3}=\frac{u}{v}\) लिखता है पर (u,v) सहभाज्य नहीं बताता, तो कौन-सी कमी रहेगी?
If a proof writes \(\sqrt{3}=\frac{u}{v}\) but does not state (u,v) are coprime, what weakness remains?
Explanation opens after your attempt
Correct Answer
A. दोनों (3) से विभाज्य होने पर निर्णायक विरोधाभास नहीं बनेगाA decisive contradiction will not form when both become divisible by (3)
Concept
Without the coprime condition, getting common factor (3) will not be a sufficient contradiction.
Why this answer is correct
The correct answer is A. दोनों (3) से विभाज्य होने पर निर्णायक विरोधाभास नहीं बनेगा / A decisive contradiction will not form when both become divisible by (3). Without the coprime condition, getting common factor (3) will not be a sufficient contradiction.
Exam Tip
सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना पर्याप्त विरोधाभास नहीं लगेगा।
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