यदि \(\sqrt{3}\) के प्रमाण में कोई छात्र \(p^2=3q^2\) से सीधे (p=3q) लिख देता है तो गलती क्या है?

If a student writes (p=3q) directly from \(p^2=3q^2\) in the proof of \(\sqrt{3}\), what is the mistake?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. वर्ग संबंध से सीधे (p=3q) नहीं मिलताThe square relation does not directly give (p=3q)

Step 1

Concept

From \(p^2=3q^2\), we only get that \(p^2\) is divisible by (3). Then by the rule, (p) is written as (3k).

Step 2

Why this answer is correct

The correct answer is A. वर्ग संबंध से सीधे (p=3q) नहीं मिलता / The square relation does not directly give (p=3q). From \(p^2=3q^2\), we only get that \(p^2\) is divisible by (3). Then by the rule, (p) is written as (3k).

Step 3

Exam Tip

\(p^2=3q^2\) से केवल \(p^2\) का (3) से विभाज्य होना मिलता है। फिर नियम से (p) को (3k) लिखा जाता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\sqrt{3}\) के प्रमाण में कोई छात्र \(p^2=3q^2\) से सीधे (p=3q) लिख देता है तो गलती क्या है? / If a student writes (p=3q) directly from \(p^2=3q^2\) in the proof of \(\sqrt{3}\), what is the mistake?

Correct Answer: A. वर्ग संबंध से सीधे (p=3q) नहीं मिलता / The square relation does not directly give (p=3q). Explanation: \(p^2=3q^2\) से केवल \(p^2\) का (3) से विभाज्य होना मिलता है। फिर नियम से (p) को (3k) लिखा जाता है। / From \(p^2=3q^2\), we only get that \(p^2\) is divisible by (3). Then by the rule, (p) is written as (3k).

Which concept should I revise for this Mathematics MCQ?

From \(p^2=3q^2\), we only get that \(p^2\) is divisible by (3). Then by the rule, (p) is written as (3k).

What exam hint can help solve this Mathematics question?

\(p^2=3q^2\) से केवल \(p^2\) का (3) से विभाज्य होना मिलता है। फिर नियम से (p) को (3k) लिखा जाता है।