किस विकल्प में \(\sqrt{3}\) के प्रमाण की गलत बीजगणितीय छलांग है?

Which option shows a wrong algebraic leap in the proof of \(\sqrt{3}\)?

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

D. \(u^2=3v^2\Rightarrow u=3v\)

Step 1

Concept

\(u^2=3v^2\) does not directly give (u=3v). First (u) is proved divisible by (3).

Step 2

Why this answer is correct

The correct answer is D. \(u^2=3v^2\Rightarrow u=3v\). \(u^2=3v^2\) does not directly give (u=3v). First (u) is proved divisible by (3).

Step 3

Exam Tip

\(u^2=3v^2\) से सीधे (u=3v) नहीं निकलता। पहले (u) का (3) से विभाज्य होना सिद्ध किया जाता है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{3}\) के प्रमाण की गलत बीजगणितीय छलांग है? / Which option shows a wrong algebraic leap in the proof of \(\sqrt{3}\)?

Correct Answer: D. \(u^2=3v^2\Rightarrow u=3v\). Explanation: \(u^2=3v^2\) से सीधे (u=3v) नहीं निकलता। पहले (u) का (3) से विभाज्य होना सिद्ध किया जाता है। / \(u^2=3v^2\) does not directly give (u=3v). First (u) is proved divisible by (3).

Which concept should I revise for this Mathematics MCQ?

\(u^2=3v^2\) does not directly give (u=3v). First (u) is proved divisible by (3).

What exam hint can help solve this Mathematics question?

\(u^2=3v^2\) से सीधे (u=3v) नहीं निकलता। पहले (u) का (3) से विभाज्य होना सिद्ध किया जाता है।