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Which method is common in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?(\sqrt{2}), (\sqrt{3}) और (\sqrt{5}) के प्रमाणों में कौन सी विधि सामान्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Method of contradictionविरोधाभास विधि
Step 1: In all three proofs, the number is first assumed rational. Step 2: Then a contradiction appears through a common factor. Step 3: This type of proof is called the method of contradiction.चरण 1: तीनों प्रमाणों में पहले संख्या को परिमेय मानते हैं। चरण 2: फिर साझा गुणनखंड मिलने से विरोधाभास आता है। चरण 3: इस प्रकार की सिद्धि को विरोधाभास विधि कहते हैं।
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