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Which statement is a correct middle step in the proof of irrationality of (\sqrt{5})?कौन सा कथन (\sqrt{5}) की अपरिमेयता के प्रमाण में सही मध्य चरण है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: From (p^2=5q^2), (p) is divisible by (5)(p^2=5q^2) से (p) (5) से विभाज्य है
Step 1: From (p^2=5q^2), (p^2) is divisible by (5). Step 2: Since (5) is prime, (p) is also divisible by (5). Step 3: This is the basis for writing (p=5k).चरण 1: (p^2=5q^2) से (p^2) (5) से विभाज्य है। चरण 2: (5) अभाज्य है, इसलिए (p) भी (5) से विभाज्य है। चरण 3: यही आगे (p=5k) लिखने का आधार है।
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