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What is the final contradiction in the proof of (\sqrt{2})?(\sqrt{2}) के प्रमाण में अंतिम विरोधाभास क्या होता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Both (p) and (q) are found even(p) और (q) दोनों सम मिलते हैं
Step 1: At the start, (p) and (q) were assumed coprime. Step 2: The proof shows both (p) and (q) are even, so they have common factor (2). Step 3: This contradiction shows that (\sqrt{2}) is not rational.चरण 1: शुरुआत में (p) और (q) को सहअभाज्य माना गया था। चरण 2: प्रमाण में (p) और (q) दोनों सम मिलते हैं, यानी दोनों में (2) साझा गुणनखंड है। चरण 3: यही विरोधाभास दिखाता है कि (\sqrt{2}) परिमेय नहीं है।
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