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If assuming (\sqrt{2}) rational makes (\frac{a}{b}) not remain in lowest form, what is the conclusion?यदि (\sqrt{2}) परिमेय मानने पर (\frac{a}{b}) सरलतम रूप में नहीं रह पाती, तो निष्कर्ष क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: The rational assumption is falseपरिमेय मान्यता गलत है
Step 1: At the beginning, (\frac{a}{b}) was assumed in lowest form. Step 2: If the proof shows it can be reduced, the initial assumption is impossible. Step 3: Therefore (\sqrt{2}) is irrational.चरण 1: शुरुआत में (\frac{a}{b}) को सरलतम रूप माना गया था। चरण 2: यदि प्रमाण दिखाता है कि यह घट सकती है, तो आरंभिक मान्यता असंभव है। चरण 3: इसलिए (\sqrt{2}) अपरिमेय है।
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