यदि \(\sqrt{3}\) की परिमेय मान्यता सही होती तो \(\frac{p}{q}\) में क्या असंभव होता?

If the rational assumption for \(\sqrt{3}\) were correct, what would be impossible in \(\frac{p}{q}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (p) और (q) दोनों (3) से विभाज्य होनाBoth (p) and (q) being divisible by (3)

Step 1

Concept

In lowest form (p) and (q) are coprime. If both are divisible by (3), this is impossible.

Step 2

Why this answer is correct

The correct answer is B. (p) और (q) दोनों (3) से विभाज्य होना / Both (p) and (q) being divisible by (3). In lowest form (p) and (q) are coprime. If both are divisible by (3), this is impossible.

Step 3

Exam Tip

सरलतम रूप में (p) और (q) सहभाज्य होते हैं। दोनों (3) से विभाज्य हों तो यह संभव नहीं है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\sqrt{3}\) की परिमेय मान्यता सही होती तो \(\frac{p}{q}\) में क्या असंभव होता? / If the rational assumption for \(\sqrt{3}\) were correct, what would be impossible in \(\frac{p}{q}\)?

Correct Answer: B. (p) और (q) दोनों (3) से विभाज्य होना / Both (p) and (q) being divisible by (3). Explanation: सरलतम रूप में (p) और (q) सहभाज्य होते हैं। दोनों (3) से विभाज्य हों तो यह संभव नहीं है। / In lowest form (p) and (q) are coprime. If both are divisible by (3), this is impossible.

Which concept should I revise for this Mathematics MCQ?

In lowest form (p) and (q) are coprime. If both are divisible by (3), this is impossible.

What exam hint can help solve this Mathematics question?

सरलतम रूप में (p) और (q) सहभाज्य होते हैं। दोनों (3) से विभाज्य हों तो यह संभव नहीं है।