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If someone says (\sqrt{2}) is irrational because (2) is even, what is the correct correction?यदि कोई कहे कि (\sqrt{2}) अपरिमेय है क्योंकि (2) सम है, तो सही सुधार क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Being even alone is not the reason; the proof needs contradiction of a lowest-form fractionसम होना अकेले कारण नहीं है; प्रमाण में सरलतम भिन्न का विरोधाभास चाहिए
Step 1: The fact that (2) is even is not enough by itself. Step 2: The real proof assumes (\sqrt{2}) rational and shows numerator and denominator both even. Step 3: Write the full reason, not a short guess.चरण 1: केवल (2) का सम होना पर्याप्त कारण नहीं है। चरण 2: असली प्रमाण में (\sqrt{2}) को परिमेय मानकर अंश और हर दोनों सम निकलते हैं। चरण 3: कारण को पूरा लिखें, छोटा अनुमान नहीं।
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