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Which method is suitable for the proofs of (\sqrt{2}) and (\sqrt{3}) and why?(\sqrt{2}) और (\sqrt{3}) के प्रमाण में कौन-सी विधि उपयुक्त है और क्यों?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Contradiction method because rational assumption gives an impossible situationविरोधाभास विधि क्योंकि परिमेय मान्यता से असंभव स्थिति मिलती है
In both proofs, the opposite is assumed and contradiction with coprime condition is derived. Hence contradiction method is correct.दोनों प्रमाणों में उल्टा मानकर सहभाज्य शर्त से विरोधाभास निकाला जाता है। इसलिए विरोधाभास विधि सही है।
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