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In the proof of irrationality of (\sqrt{2}), after putting (p=2r), which equation is correct?(\sqrt{2}) की अपरिमेयता के प्रमाण में (p=2r) रखने के बाद कौन-सा समीकरण सही बनता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (q^2=2r^2)(q^2=2r^2)
Step 1: Put (p=2r) in (p^2=2q^2). Step 2: Then (4r^2=2q^2), so (q^2=2r^2). Step 3: This step completes the proof that (q) is even.चरण 1: (p^2=2q^2) में (p=2r) रखें। चरण 2: (4r^2=2q^2), इसलिए (q^2=2r^2) मिलता है। चरण 3: इस कदम से (q) के सम होने का प्रमाण पूरा होता है।
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