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In a proof, from (p^2=2q^2), we get (p=2r) and then (q=2s). What contradiction does this give?एक प्रमाण में (p^2=2q^2) से (p=2r) और फिर (q=2s) मिला। यह कौन सा विरोधाभास देता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (p) and (q) are not coprime(p) और (q) सहअभाज्य नहीं हैं
Step 1: (p=2r) and (q=2s) mean both are divisible by (2). Step 2: So they cannot be coprime. Step 3: But they were assumed coprime at the start, which is the contradiction.चरण 1: (p=2r) और (q=2s) से दोनों (2) से विभाज्य हैं। चरण 2: इसलिए वे सहअभाज्य नहीं हो सकते। चरण 3: जबकि शुरुआत में उन्हें सहअभाज्य माना गया था, यही विरोधाभास है।
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