\(\sqrt{2}\) के प्रमाण में किस बात को अंत में गलत सिद्ध किया जाता है?

In the proof of \(\sqrt{2}\), what is finally proved false?

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

A. \(\sqrt{2}\) परिमेय है\(\sqrt{2}\) is rational

Step 1

Concept

The contradiction makes the rationality assumption false. Therefore the conclusion is that \(\sqrt{2}\) is irrational.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{2}\) परिमेय है / \(\sqrt{2}\) is rational. The contradiction makes the rationality assumption false. Therefore the conclusion is that \(\sqrt{2}\) is irrational.

Step 3

Exam Tip

विरोधाभास परिमेय होने की मान्यता को गलत करता है। इसलिए \(\sqrt{2}\) अपरिमेय निष्कर्ष है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में किस बात को अंत में गलत सिद्ध किया जाता है? / In the proof of \(\sqrt{2}\), what is finally proved false?

Correct Answer: A. \(\sqrt{2}\) परिमेय है / \(\sqrt{2}\) is rational. Explanation: विरोधाभास परिमेय होने की मान्यता को गलत करता है। इसलिए \(\sqrt{2}\) अपरिमेय निष्कर्ष है। / The contradiction makes the rationality assumption false. Therefore the conclusion is that \(\sqrt{2}\) is irrational.

Which concept should I revise for this Mathematics MCQ?

The contradiction makes the rationality assumption false. Therefore the conclusion is that \(\sqrt{2}\) is irrational.

What exam hint can help solve this Mathematics question?

विरोधाभास परिमेय होने की मान्यता को गलत करता है। इसलिए \(\sqrt{2}\) अपरिमेय निष्कर्ष है।