\(\sqrt{3}\) की अपरिमेयता के प्रमाण में सही मध्य चरण कौन-सा है?

Which is the correct middle step in the proof of irrationality of \(\sqrt{3}\)?

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

D. \(p^2=3q^2\)

Step 1

Concept

Squaring \(\sqrt{3}=\frac{p}{q}\) gives \(p^2=3q^2\). This is the basis for divisibility.

Step 2

Why this answer is correct

The correct answer is D. \(p^2=3q^2\). Squaring \(\sqrt{3}=\frac{p}{q}\) gives \(p^2=3q^2\). This is the basis for divisibility.

Step 3

Exam Tip

\(\sqrt{3}=\frac{p}{q}\) को वर्ग करने पर \(p^2=3q^2\) मिलता है। यही आगे विभाज्यता का आधार है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{3}\) की अपरिमेयता के प्रमाण में सही मध्य चरण कौन-सा है? / Which is the correct middle step in the proof of irrationality of \(\sqrt{3}\)?

Correct Answer: D. \(p^2=3q^2\). Explanation: \(\sqrt{3}=\frac{p}{q}\) को वर्ग करने पर \(p^2=3q^2\) मिलता है। यही आगे विभाज्यता का आधार है। / Squaring \(\sqrt{3}=\frac{p}{q}\) gives \(p^2=3q^2\). This is the basis for divisibility.

Which concept should I revise for this Mathematics MCQ?

Squaring \(\sqrt{3}=\frac{p}{q}\) gives \(p^2=3q^2\). This is the basis for divisibility.

What exam hint can help solve this Mathematics question?

\(\sqrt{3}=\frac{p}{q}\) को वर्ग करने पर \(p^2=3q^2\) मिलता है। यही आगे विभाज्यता का आधार है।