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In the proof of (\sqrt{2}), if (a^2) is even, why must (a) be even?(\sqrt{2}) की सिद्धि में यदि (a^2) सम है, तो (a) सम क्यों होना चाहिए?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because if (a) were odd, then (a^2) would also be oddक्योंकि यदि (a) विषम होता तो (a^2) भी विषम होता
Step 1: The square of an odd number is odd. Step 2: Here (a^2) is even, so (a) cannot be odd. Step 3: Hence (a) must be even.चरण 1: विषम संख्या का वर्ग विषम होता है। चरण 2: यहां (a^2) सम मिला है, इसलिए (a) विषम नहीं हो सकता। चरण 3: अतः (a) सम होना निश्चित है।
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