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Which option directly conflicts with (p) and (q) being coprime in the proof for (\sqrt{2})?किस विकल्प में (\sqrt{2}) के प्रमाण में (p) और (q) के सहअभाज्य होने से सीधा टकराव है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2\mid p) and (2\mid q)(2\mid p) और (2\mid q)
Step 1: (2\mid p) and (2\mid q) mean both have (2) as a common factor. Step 2: This cannot happen for coprime numbers. Step 3: This conflict is the decisive point of the proof.चरण 1: (2\mid p) और (2\mid q) का अर्थ है दोनों में (2) साझा गुणनखंड है। चरण 2: सहअभाज्य संख्याओं में ऐसा नहीं हो सकता। चरण 3: यही टकराव प्रमाण का निर्णायक बिंदु है।
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