किस विकल्प में \(\sqrt{3}\) के प्रमाण में प्रयुक्त सही परिमेय रूप है?

Which option gives the correct rational form used in the proof of \(\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \(\sqrt{3}=\frac{p}{q}\), जहाँ (p,q) सहभाज्य हैं और \(q\neq0\)\(\sqrt{3}=\frac{p}{q}\), where (p,q) are coprime and \(q\neq0\)

Step 1

Concept

When assumed rational, \(\sqrt{3}\) is written in lowest fractional form. Therefore (p) and (q) are coprime.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{3}=\frac{p}{q}\), जहाँ (p,q) सहभाज्य हैं और \(q\neq0\) / \(\sqrt{3}=\frac{p}{q}\), where (p,q) are coprime and \(q\neq0\). When assumed rational, \(\sqrt{3}\) is written in lowest fractional form. Therefore (p) and (q) are coprime.

Step 3

Exam Tip

परिमेय मानने पर \(\sqrt{3}\) को सरलतम भिन्न में लिखा जाता है। इसलिए (p) और (q) सहभाज्य होते हैं।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{3}\) के प्रमाण में प्रयुक्त सही परिमेय रूप है? / Which option gives the correct rational form used in the proof of \(\sqrt{3}\)?

Correct Answer: B. \(\sqrt{3}=\frac{p}{q}\), जहाँ (p,q) सहभाज्य हैं और \(q\neq0\) / \(\sqrt{3}=\frac{p}{q}\), where (p,q) are coprime and \(q\neq0\). Explanation: परिमेय मानने पर \(\sqrt{3}\) को सरलतम भिन्न में लिखा जाता है। इसलिए (p) और (q) सहभाज्य होते हैं। / When assumed rational, \(\sqrt{3}\) is written in lowest fractional form. Therefore (p) and (q) are coprime.

Which concept should I revise for this Mathematics MCQ?

When assumed rational, \(\sqrt{3}\) is written in lowest fractional form. Therefore (p) and (q) are coprime.

What exam hint can help solve this Mathematics question?

परिमेय मानने पर \(\sqrt{3}\) को सरलतम भिन्न में लिखा जाता है। इसलिए (p) और (q) सहभाज्य होते हैं।