किस विकल्प में \(\sqrt{2}\) और \(\sqrt{3}\) के प्रमाणों का सही तुलनात्मक विश्लेषण है?
Which option gives the correct comparative analysis of the proofs of \(\sqrt{2}\) and \(\sqrt{3}\)?
Explanation opens after your attempt
A. दोनों में परिमेय मान्यता, वर्ग और फिर अभाज्य गुणनखंड से विरोधाभास आता हैBoth use rational assumption, squaring, and then contradiction through a prime factor
Concept
Both proofs have the same structure, but the prime factors are (2) and (3) respectively. Mention this in comparison.
Why this answer is correct
The correct answer is A. दोनों में परिमेय मान्यता, वर्ग और फिर अभाज्य गुणनखंड से विरोधाभास आता है / Both use rational assumption, squaring, and then contradiction through a prime factor. Both proofs have the same structure, but the prime factors are (2) and (3) respectively. Mention this in comparison.
Exam Tip
दोनों प्रमाणों की संरचना समान है, पर अभाज्य गुणनखंड क्रमशः (2) और (3) है। तुलना में यह बात लिखें।
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