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In the proof of (\sqrt{2}), both (p) and (q) are found even. Why is this called a contradiction?(\sqrt{2}) की सिद्धि में (p) और (q) दोनों सम मिलते हैं। इसे विरोधाभास क्यों कहा जाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because both have common factor (2), while they were assumed coprimeक्योंकि दोनों में (2) साझा गुणनखंड है, जबकि वे सहअभाज्य माने गए थे
Step 1: An even number is divisible by (2). Step 2: If both are even, (2) is a common factor. Step 3: Coprime numbers cannot have such a common factor.चरण 1: सम संख्या (2) से विभाज्य होती है। चरण 2: दोनों सम होने पर (2) साझा गुणनखंड है। चरण 3: सहअभाज्य संख्याओं में ऐसा साझा गुणनखंड नहीं हो सकता।
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