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If both (a,b) are assumed even from the beginning while proving (\sqrt{2}), what is the mistake?यदि (\sqrt{2}) का प्रमाण लिखते समय (a,b) को पहले से दोनों सम मान लिया जाए तो गलती क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: At the beginning they should be taken coprime in lowest formशुरुआत में उन्हें सहभाज्य सरलतम रूप में लेना चाहिए
Both even is not the assumption but the contradiction. At the start (\gcd(a,b)=1) should be assumed.दोनों सम होना प्रमाण का निष्कर्ष नहीं बल्कि विरोधाभास है। शुरुआत में (\gcd(a,b)=1) मानना चाहिए।
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