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Which statement shows that the proof of irrationality of (\sqrt{2}) is not based on decimals?किस कथन से स्पष्ट होता है कि (\sqrt{2}) की अपरिमेयता का प्रमाण दशमलव पर आधारित नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: The proof is based on rational assumption and contradiction of coprimalityप्रमाण परिमेय मान्यता और सहअभाज्यता के विरोधाभास पर आधारित है
Step 1: A decimal approximation of (\sqrt{2}) does not prove irrationality. Step 2: The real proof assumes (\sqrt{2}=\frac{p}{q}) and derives a contradiction. Step 3: In exams, give priority to logical proof.चरण 1: (\sqrt{2}) का दशमलव अनुमान प्रमाण नहीं देता। चरण 2: असली प्रमाण में (\sqrt{2}=\frac{p}{q}) मानकर विरोधाभास निकाला जाता है। चरण 3: परीक्षा में तार्किक प्रमाण को प्राथमिकता दें।
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