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Which option gives the correct comparative analysis of the proofs of (\sqrt{2}) and (\sqrt{3})?किस विकल्प में (\sqrt{2}) और (\sqrt{3}) के प्रमाणों का सही तुलनात्मक विश्लेषण है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Both use rational assumption, squaring, and then contradiction through a prime factorदोनों में परिमेय मान्यता, वर्ग और फिर अभाज्य गुणनखंड से विरोधाभास आता है
Both proofs have the same structure, but the prime factors are (2) and (3) respectively. Mention this in comparison.दोनों प्रमाणों की संरचना समान है, पर अभाज्य गुणनखंड क्रमशः (2) और (3) है। तुलना में यह बात लिखें।
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