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In the proof of (\sqrt{5}), writing (p=5k) from (p^2=5q^2) depends on which condition?(\sqrt{5}) की सिद्धि में (p^2=5q^2) से (p=5k) लिखना किस शर्त पर निर्भर करता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (5) is prime(5) अभाज्य 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: Therefore (p=5k) is valid.चरण 1: (p^2=5q^2) से (p^2) (5) से विभाज्य है। चरण 2: (5) अभाज्य होने के कारण (p) भी (5) से विभाज्य होगा। चरण 3: इसलिए (p=5k) लिखना वैध है।
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