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In the proof of irrationality of (\sqrt{2}), after getting (a^2=2b^2), which is the correct form for (a)?(\sqrt{2}) की अपरिमेयता के प्रमाण में (a^2=2b^2) मिलने पर (a) के लिए सही रूप कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (a=2k)(a=2k)
Step 1: From (a^2=2b^2), (a^2) is even. Step 2: If a square is even, the original integer is even. Step 3: Therefore we write (a=2k), where (k) is an integer.चरण 1: (a^2=2b^2) से (a^2) सम है। चरण 2: वर्ग सम हो तो मूल पूर्णांक भी सम होता है। चरण 3: इसलिए (a=2k) लिखते हैं, जहां (k) पूर्णांक है।
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