यदि \(x^2\) (3) से विभाज्य है तो (x) (3) से विभाज्य है। यह कथन किस प्रमाण में मुख्य है?

If \(x^2\) is divisible by (3), then (x) is divisible by (3). This statement is central in which proof?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \(\sqrt{3}\) की अपरिमेयताIrrationality of \(\sqrt{3}\)

Step 1

Concept

In the proof of \(\sqrt{3}\), divisibility of (p) by (3) is derived from \(p^2\). This leads to contradiction.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{3}\) की अपरिमेयता / Irrationality of \(\sqrt{3}\). In the proof of \(\sqrt{3}\), divisibility of (p) by (3) is derived from \(p^2\). This leads to contradiction.

Step 3

Exam Tip

\(\sqrt{3}\) के प्रमाण में \(p^2\) से (p) का (3) से विभाज्य होना निकाला जाता है। यही आगे विरोधाभास देता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x^2\) (3) से विभाज्य है तो (x) (3) से विभाज्य है। यह कथन किस प्रमाण में मुख्य है? / If \(x^2\) is divisible by (3), then (x) is divisible by (3). This statement is central in which proof?

Correct Answer: B. \(\sqrt{3}\) की अपरिमेयता / Irrationality of \(\sqrt{3}\). Explanation: \(\sqrt{3}\) के प्रमाण में \(p^2\) से (p) का (3) से विभाज्य होना निकाला जाता है। यही आगे विरोधाभास देता है। / In the proof of \(\sqrt{3}\), divisibility of (p) by (3) is derived from \(p^2\). This leads to contradiction.

Which concept should I revise for this Mathematics MCQ?

In the proof of \(\sqrt{3}\), divisibility of (p) by (3) is derived from \(p^2\). This leads to contradiction.

What exam hint can help solve this Mathematics question?

\(\sqrt{3}\) के प्रमाण में \(p^2\) से (p) का (3) से विभाज्य होना निकाला जाता है। यही आगे विरोधाभास देता है।