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In the proof of (\sqrt{2}), after putting (a=2r), what correct form of (b^2) follows from (a^2=2b^2)?(\sqrt{2}) की सिद्धि में (a=2r) रखने पर (a^2=2b^2) से (b^2) का सही रूप क्या मिलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (b^2=2r^2)(b^2=2r^2)
Step 1: If (a=2r), then (a^2=4r^2). Step 2: From (4r^2=2b^2), dividing by (2) gives (b^2=2r^2). Step 3: This becomes the basis for proving (b) even.चरण 1: (a=2r) रखने पर (a^2=4r^2) होगा। चरण 2: (4r^2=2b^2) से (2) से भाग करने पर (b^2=2r^2) मिलता है। चरण 3: इसी से (b) के सम होने का आधार मिलता है।
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