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In the irrationality proof of (\sqrt{3}), why is (p^2) divisible by (3) from (p^2=3q^2)?(\sqrt{3}) की अपरिमेयता में (p^2=3q^2) से (p^2) किस कारण (3) से विभाज्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (3) appears as a factor on the right sideक्योंकि दाएँ पक्ष में (3) गुणक के रूप में है
Step 1: In (p^2=3q^2), the right side is a multiple of (3). Step 2: Since both sides are equal, (p^2) is also a multiple of (3). Step 3: Understand divisibility of the square first, then of the original number.चरण 1: (p^2=3q^2) में दायाँ पक्ष (3) का गुणज है। चरण 2: बराबरी के कारण (p^2) भी (3) का गुणज होगा। चरण 3: पहले वर्ग की विभाज्यता समझें, फिर मूल संख्या की।
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