\(\sqrt{3}\) के प्रमाण में यदि (p,q) दोनों (3) से विभाज्य हैं, तो \(\frac{p}{q}\) को और घटाने योग्य क्यों माना जाएगा?

In the proof of \(\sqrt{3}\), if both (p,q) are divisible by (3), why is \(\frac{p}{q}\) considered reducible?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. क्योंकि दोनों को (3) से भाग दिया जा सकता हैBecause both can be divided by (3)

Step 1

Concept

Both have common factor (3). Therefore the fraction cannot remain in lowest form.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि दोनों को (3) से भाग दिया जा सकता है / Because both can be divided by (3). Both have common factor (3). Therefore the fraction cannot remain in lowest form.

Step 3

Exam Tip

दोनों में सामान्य गुणनखंड (3) है। इसलिए भिन्न सरलतम रूप में नहीं रह सकती।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{3}\) के प्रमाण में यदि (p,q) दोनों (3) से विभाज्य हैं, तो \(\frac{p}{q}\) को और घटाने योग्य क्यों माना जाएगा? / In the proof of \(\sqrt{3}\), if both (p,q) are divisible by (3), why is \(\frac{p}{q}\) considered reducible?

Correct Answer: A. क्योंकि दोनों को (3) से भाग दिया जा सकता है / Because both can be divided by (3). Explanation: दोनों में सामान्य गुणनखंड (3) है। इसलिए भिन्न सरलतम रूप में नहीं रह सकती। / Both have common factor (3). Therefore the fraction cannot remain in lowest form.

Which concept should I revise for this Mathematics MCQ?

Both have common factor (3). Therefore the fraction cannot remain in lowest form.

What exam hint can help solve this Mathematics question?

दोनों में सामान्य गुणनखंड (3) है। इसलिए भिन्न सरलतम रूप में नहीं रह सकती।