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Which option is a wrong conclusion in the proof of (\sqrt{2})?कौन सा विकल्प (\sqrt{2}) के प्रमाण में गलत निष्कर्ष है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (p^2=2q^2), so (p=2q)(p^2=2q^2) इसलिए (p=2q)
Step 1: From (p^2=2q^2), we only conclude that (p^2) is even. Step 2: Then (p) is even and (p=2k) is written. Step 3: Writing (p=2q) directly is an algebraic mistake.चरण 1: (p^2=2q^2) से केवल (p^2) के सम होने का निष्कर्ष आता है। चरण 2: फिर (p) सम है और (p=2k) लिखा जाता है। चरण 3: सीधे (p=2q) लिखना बीजगणितीय गलती है।
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