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In the proof of (\sqrt{3}), what is the proper basis for writing (p=3k) from (p^2=3q^2)?(\sqrt{3}) के प्रमाण में (p^2=3q^2) से (p=3k) लिखने का उचित आधार क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (p^2) is divisible by (3) and (3) is prime(p^2) (3) से विभाज्य है और (3) अभाज्य है
Step 1: From (p^2=3q^2), (p^2) is divisible by (3). Step 2: Since (3) is prime, if (p^2) is divisible by (3), then (p) is also divisible by (3). Step 3: Then writing (p=3k) is valid.चरण 1: (p^2=3q^2) से (p^2) (3) से विभाज्य है। चरण 2: (3) अभाज्य संख्या है, इसलिए (p^2) के (3) से विभाज्य होने पर (p) भी (3) से विभाज्य होगा। चरण 3: तब (p=3k) लिखना सही है।
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