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Which option is the correct final sentence of the proof of (\sqrt{2})?कौन सा विकल्प (\sqrt{2}) की सिद्धि का सही अंतिम वाक्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: This contradicts our assumption, hence (\sqrt{2}) is irrationalयह हमारी मान्यता के विपरीत है, अतः (\sqrt{2}) अपरिमेय है
Step 1: The rational assumption makes both (p) and (q) even. Step 2: This contradicts their being coprime. Step 3: So the final sentence should state both contradiction and irrationality.चरण 1: परिमेय मान्यता से (p) और (q) दोनों सम मिलते हैं। चरण 2: यह सहअभाज्य होने के विरुद्ध है। चरण 3: इसलिए अंतिम वाक्य में विरोधाभास और अपरिमेयता दोनों लिखें।
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