किस विकल्प में \(\sqrt{3}\) के प्रमाण में (p) और (q) के बारे में सही भूमिका बताई गई है?

Which option correctly describes the role of (p) and (q) in the proof of \(\sqrt{3}\)?

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Correct Answer

B. वे सरलतम भिन्न के सहभाज्य पूर्णांक हैंThey are coprime integers of the lowest fraction

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. वे सरलतम भिन्न के सहभाज्य पूर्णांक हैं / They are coprime integers of the lowest fraction. When \(\sqrt{3}\) is assumed rational, \(\frac{p}{q}\) is taken in lowest form. Therefore (p) and (q) are coprime integers.

Step 3

Exam Tip

\(\sqrt{3}\) को परिमेय मानते समय \(\frac{p}{q}\) सरलतम रूप में लिया जाता है। इसलिए (p) और (q) सहभाज्य पूर्णांक हैं।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{3}\) के प्रमाण में (p) और (q) के बारे में सही भूमिका बताई गई है? / Which option correctly describes the role of (p) and (q) in the proof of \(\sqrt{3}\)?

Correct Answer: B. वे सरलतम भिन्न के सहभाज्य पूर्णांक हैं / They are coprime integers of the lowest fraction. Explanation: \(\sqrt{3}\) को परिमेय मानते समय \(\frac{p}{q}\) सरलतम रूप में लिया जाता है। इसलिए (p) और (q) सहभाज्य पूर्णांक हैं। / When \(\sqrt{3}\) is assumed rational, \(\frac{p}{q}\) is taken in lowest form. Therefore (p) and (q) are coprime integers.

Which concept should I revise for this Mathematics MCQ?

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

What exam hint can help solve this Mathematics question?

\(\sqrt{3}\) को परिमेय मानते समय \(\frac{p}{q}\) सरलतम रूप में लिया जाता है। इसलिए (p) और (q) सहभाज्य पूर्णांक हैं।