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Which option states the contradiction in the proof of (\sqrt{2}) correctly?कौन सा विकल्प (\sqrt{2}) के प्रमाण में विरोधाभास को सही भाषा में बताता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (a) and (b) were assumed coprime, but both turned out even(a) और (b) सहअभाज्य माने गए थे, पर दोनों सम निकले
Step 1: At the beginning, (\frac{a}{b}) is taken in lowest form. Step 2: The proof shows both (a) and (b) are even. Step 3: Being coprime and both even is impossible.चरण 1: शुरुआत में (\frac{a}{b}) को सरलतम रूप मानते हैं। चरण 2: प्रमाण में (a) और (b) दोनों सम मिलते हैं। चरण 3: सहअभाज्य होकर दोनों सम होना असंभव है।
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