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If the sequence (p^2=5q^2), (p=5k), (q^2=5k^2) appears in the proof of (\sqrt{5}), what is the next correct statement?यदि (\sqrt{5}) की सिद्धि में (p^2=5q^2), (p=5k), (q^2=5k^2) क्रम मिलता है, तो अगला सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (q) is divisible by (5)(q) (5) से विभाज्य है
Step 1: From (q^2=5k^2), (q^2) is divisible by (5). Step 2: Since (5) is prime, (q) is also divisible by (5). Step 3: Now both (p) and (q) have common factor (5).चरण 1: (q^2=5k^2) से (q^2) (5) से विभाज्य है। चरण 2: (5) अभाज्य है, इसलिए (q) भी (5) से विभाज्य होगा। चरण 3: अब (p) और (q) दोनों में (5) साझा गुणनखंड मिल जाता है।
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