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Which statement completes the proof of irrationality of (\sqrt{5})?कौन सा कथन (\sqrt{5}) की अपरिमेयता के प्रमाण को पूरा करता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Therefore (\sqrt{5}) is irrationalअतः (\sqrt{5}) अपरिमेय है
Step 1: The rational assumption makes both (a) and (b) divisible by (5). Step 2: This contradicts the coprime condition. Step 3: Therefore the conclusion is that (\sqrt{5}) is irrational.चरण 1: परिमेय मान्यता से (a) और (b) दोनों (5) से विभाज्य मिलते हैं। चरण 2: यह सहअभाज्य होने की शर्त से टकराता है। चरण 3: इसलिए निष्कर्ष है कि (\sqrt{5}) अपरिमेय है।
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