\(\sqrt{2}\) और \(\sqrt{3}\) दोनों के प्रमाणों का सही संयुक्त निष्कर्ष कौन-सा है?
What is the correct combined conclusion of the proofs of both \(\sqrt{2}\) and \(\sqrt{3}\)?
Explanation opens after your attempt
A. दोनों को परिमेय मानने पर विरोधाभास मिलता है इसलिए दोनों अपरिमेय हैंAssuming either rational gives contradiction, so both are irrational
Concept
In both proofs, the rational assumption clashes with the coprime condition. Therefore both \(\sqrt{2}\) and \(\sqrt{3}\) are irrational.
Why this answer is correct
The correct answer is A. दोनों को परिमेय मानने पर विरोधाभास मिलता है इसलिए दोनों अपरिमेय हैं / Assuming either rational gives contradiction, so both are irrational. In both proofs, the rational assumption clashes with the coprime condition. Therefore both \(\sqrt{2}\) and \(\sqrt{3}\) are irrational.
Exam Tip
दोनों प्रमाणों में परिमेय मान्यता सहभाज्य शर्त से टकराती है। इसलिए \(\sqrt{2}\) और \(\sqrt{3}\) दोनों अपरिमेय हैं।
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