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Which statement would weaken the proof of (\sqrt{2}) the most?कौन-सा कथन (\sqrt{2}) के प्रमाण को सबसे अधिक कमजोर बना देगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not taking (\frac{p}{q}) in lowest form(\frac{p}{q}) को सरलतम रूप में न लेना
Step 1: The contradiction depends on (p) and (q) being coprime. Step 2: If lowest form is not taken, getting a common factor will not be a contradiction. Step 3: Therefore lowest form is essential at the start.चरण 1: विरोधाभास इसी बात पर निर्भर करता है कि (p) और (q) सहअभाज्य हैं। चरण 2: यदि सरलतम रूप नहीं लिया गया, तो साझा गुणनखंड मिलना विरोधाभास नहीं बनेगा। चरण 3: इसलिए शुरुआत में सरलतम रूप जरूरी है।
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