Medium Mathematics Chapter 1: Real Numbers Class 10 Level 18

\(\sqrt{3}\) की सिद्धि में \(\sqrt{3}=\frac{p}{q}\) मानने के बाद वर्ग करने पर कौन सा सही समीकरण मिलेगा?

In the proof of \(\sqrt{3}\), after assuming \(\sqrt{3}=\frac{p}{q}\), which correct equation is obtained by squaring?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

Squaring both sides gives \(3=\frac{p^2}{q^2}\).

Step 2

Why this answer is correct

Clearing the denominator gives \(p^2=3q^2\).

Step 3

Exam Tip

After squaring, do not forget to multiply by \(q^2\). चरण 1: दोनों ओर वर्ग करने पर \(3=\frac{p^2}{q^2}\) मिलता है। चरण 2: हर हटाने पर \(p^2=3q^2\) मिलेगा। चरण 3: वर्ग करने के बाद दोनों ओर \(q^2\) से गुणा करना न भूलें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. \(p^2=3q^2\).

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