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Which assumption is taken first to prove that (\sqrt{2}) is irrational?(\sqrt{2}) को अपरिमेय सिद्ध करने के लिए सबसे पहले कौन सी मान्यता ली जाती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\sqrt{2}) is rational and (\sqrt{2}=\frac{p}{q}), where (p) and (q) are coprime(\sqrt{2}) परिमेय है और (\sqrt{2}=\frac{p}{q}), जहां (p) और (q) सहअभाज्य हैं
Step 1: In the contradiction method, we begin by assuming the opposite statement. Step 2: So we assume (\sqrt{2}) is rational and write it as (\frac{p}{q}), where (p) and (q) are coprime. Step 3: In exams, write the starting assumption clearly.चरण 1: विरोधाभास विधि में हम कथन के उलटे को सही मानकर शुरू करते हैं। चरण 2: इसलिए (\sqrt{2}) को परिमेय मानकर (\frac{p}{q}) के रूप में लिखते हैं, जहां (p) और (q) सहअभाज्य हों। चरण 3: परीक्षा में शुरुआत साफ लिखना बहुत जरूरी है।
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