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In the proof for (\sqrt{2}), if both (p) and (q) are even, what does writing (p=2m) and (q=2n) show?(\sqrt{2}) के प्रमाण में यदि (p) और (q) दोनों सम हैं, तो (p=2m) और (q=2n) लिखने से क्या दिखता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Both have (2) as a common factorदोनों में (2) साझा गुणनखंड है
Step 1: (p=2m) shows (2\mid p). Step 2: (q=2n) shows (2\mid q). Step 3: Together, they make (2) a common factor.चरण 1: (p=2m) बताता है कि (2\mid p)। चरण 2: (q=2n) बताता है कि (2\mid q)। चरण 3: दोनों मिलकर (2) को साझा गुणनखंड बनाते हैं।
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