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Why is it a problem if both (a) and (b) are found even in the proof of (\sqrt{2})?(\sqrt{2}) के प्रमाण में दोनों (a) और (b) सम मिलना क्यों समस्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because then both have (2) as a common factorक्योंकि तब दोनों में (2) साझा गुणनखंड होगा
Step 1: An even number is divisible by (2). Step 2: If both (a) and (b) are even, both have (2) as a common factor. Step 3: This contradicts the coprime condition.चरण 1: सम संख्या (2) से विभाज्य होती है। चरण 2: यदि (a) और (b) दोनों सम हैं, तो दोनों में (2) साझा गुणनखंड है। चरण 3: यह सहअभाज्य होने की शर्त से टकराता है।
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