\(\sqrt{2}\) की अपरिमेयता के प्रमाण में कौन-सा निष्कर्ष सबसे अंत में लिखना चाहिए?
Which conclusion should be written at the very end of the proof of irrationality of \(\sqrt{2}\)?
Explanation opens after your attempt
Correct Answer
D. अतः \(\sqrt{2}\) अपरिमेय हैTherefore \(\sqrt{2}\) is irrational
Concept
The proof obtains a contradiction from the rational assumption.
Why this answer is correct
The contradiction shows that the starting assumption was false.
Exam Tip
Therefore the final sentence should clearly state that \(\sqrt{2}\) is irrational. चरण 1: प्रमाण में परिमेय मान्यता से विरोधाभास प्राप्त होता है। चरण 2: विरोधाभास बताता है कि आरंभिक मान्यता गलत थी। चरण 3: इसलिए अंतिम वाक्य स्पष्ट होना चाहिए कि \(\sqrt{2}\) अपरिमेय है।
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