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At which point is coprimality used decisively in the proof for (\sqrt{2})?(\sqrt{2}) के प्रमाण में किस स्थान पर सहअभाज्यता का उपयोग निर्णायक रूप से होता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When both (p) and (q) are proved evenजब (p) और (q) दोनों सम सिद्ध हो जाते हैं
Step 1: Coprimality means there is no common factor. Step 2: When both (p) and (q) are proved even, (2) becomes a common factor. Step 3: At this point, coprimality gives the decisive contradiction.चरण 1: सहअभाज्यता का अर्थ है साझा गुणनखंड न होना। चरण 2: (p) और (q) दोनों सम सिद्ध होने पर (2) साझा गुणनखंड मिल जाता है। चरण 3: इसी समय सहअभाज्यता निर्णायक विरोधाभास देती है।
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