\(\sqrt{2}\) और \(\sqrt{3}\) के प्रमाणों का संयुक्त निष्कर्ष क्या है?

What is the combined conclusion of the proofs of \(\sqrt{2}\) and \(\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

D. दोनों अपरिमेय हैंBoth are irrational

Step 1

Concept

Assuming either rational gives a contradiction with the coprime condition. Therefore both are irrational.

Step 2

Why this answer is correct

The correct answer is D. दोनों अपरिमेय हैं / Both are irrational. Assuming either rational gives a contradiction with the coprime condition. Therefore both are irrational.

Step 3

Exam Tip

दोनों को परिमेय मानने पर सहभाज्य शर्त से विरोधाभास मिलता है। इसलिए दोनों अपरिमेय हैं।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) और \(\sqrt{3}\) के प्रमाणों का संयुक्त निष्कर्ष क्या है? / What is the combined conclusion of the proofs of \(\sqrt{2}\) and \(\sqrt{3}\)?

Correct Answer: D. दोनों अपरिमेय हैं / Both are irrational. Explanation: दोनों को परिमेय मानने पर सहभाज्य शर्त से विरोधाभास मिलता है। इसलिए दोनों अपरिमेय हैं। / Assuming either rational gives a contradiction with the coprime condition. Therefore both are irrational.

Which concept should I revise for this Mathematics MCQ?

Assuming either rational gives a contradiction with the coprime condition. Therefore both are irrational.

What exam hint can help solve this Mathematics question?

दोनों को परिमेय मानने पर सहभाज्य शर्त से विरोधाभास मिलता है। इसलिए दोनों अपरिमेय हैं।