किस विकल्प में \(\sqrt{2}\) के प्रमाण की गलत बीजगणितीय छलांग दिखाई गई है?

Which option shows a wrong algebraic leap in the proof of \(\sqrt{2}\)?

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

D. \(x^2=2y^2\Rightarrow x=2y\)

Step 1

Concept

The square relation does not directly give (x=2y). The correct path is from \(x^2\) even to (x) even.

Step 2

Why this answer is correct

The correct answer is D. \(x^2=2y^2\Rightarrow x=2y\). The square relation does not directly give (x=2y). The correct path is from \(x^2\) even to (x) even.

Step 3

Exam Tip

वर्ग संबंध से सीधे (x=2y) नहीं मिलता। सही रास्ता \(x^2\) सम से (x) सम तक है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{2}\) के प्रमाण की गलत बीजगणितीय छलांग दिखाई गई है? / Which option shows a wrong algebraic leap in the proof of \(\sqrt{2}\)?

Correct Answer: D. \(x^2=2y^2\Rightarrow x=2y\). Explanation: वर्ग संबंध से सीधे (x=2y) नहीं मिलता। सही रास्ता \(x^2\) सम से (x) सम तक है। / The square relation does not directly give (x=2y). The correct path is from \(x^2\) even to (x) even.

Which concept should I revise for this Mathematics MCQ?

The square relation does not directly give (x=2y). The correct path is from \(x^2\) even to (x) even.

What exam hint can help solve this Mathematics question?

वर्ग संबंध से सीधे (x=2y) नहीं मिलता। सही रास्ता \(x^2\) सम से (x) सम तक है।