\(\sqrt{3}=\frac{p}{q}\) मानकर \(p^2=3q^2\) मिलता है। इससे (p) के बारे में सही निष्कर्ष क्या है?

Assuming \(\sqrt{3}=\frac{p}{q}\), we get \(p^2=3q^2\). What is the correct conclusion about (p)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

B. (p) (3) से विभाज्य है(p) is divisible by (3)

Step 1

Concept

If \(p^2\) is divisible by (3), then (p) is also divisible by (3). Remember this prime factor rule.

Step 2

Why this answer is correct

The correct answer is B. (p) (3) से विभाज्य है / (p) is divisible by (3). If \(p^2\) is divisible by (3), then (p) is also divisible by (3). Remember this prime factor rule.

Step 3

Exam Tip

यदि \(p^2\) (3) से विभाज्य है तो (p) भी (3) से विभाज्य होगा। अभाज्य गुणनखंड का यह नियम याद रखें।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{3}=\frac{p}{q}\) मानकर \(p^2=3q^2\) मिलता है। इससे (p) के बारे में सही निष्कर्ष क्या है? / Assuming \(\sqrt{3}=\frac{p}{q}\), we get \(p^2=3q^2\). What is the correct conclusion about (p)?

Correct Answer: B. (p) (3) से विभाज्य है / (p) is divisible by (3). Explanation: यदि \(p^2\) (3) से विभाज्य है तो (p) भी (3) से विभाज्य होगा। अभाज्य गुणनखंड का यह नियम याद रखें। / If \(p^2\) is divisible by (3), then (p) is also divisible by (3). Remember this prime factor rule.

Which concept should I revise for this Mathematics MCQ?

If \(p^2\) is divisible by (3), then (p) is also divisible by (3). Remember this prime factor rule.

What exam hint can help solve this Mathematics question?

यदि \(p^2\) (3) से विभाज्य है तो (p) भी (3) से विभाज्य होगा। अभाज्य गुणनखंड का यह नियम याद रखें।