\(\sqrt{2}\) के प्रमाण में \(\frac{a}{b}\) को सरलतम रूप में क्यों लिया जाता है?

Why is \(\frac{a}{b}\) taken in lowest form in the proof of \(\sqrt{2}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. ताकि सहभाज्य शर्त से विरोधाभास दिख सकेSo that contradiction with coprime condition can be shown

Step 1

Concept

In lowest form (a) and (b) are coprime. Later both becoming even creates the contradiction.

Step 2

Why this answer is correct

The correct answer is C. ताकि सहभाज्य शर्त से विरोधाभास दिख सके / So that contradiction with coprime condition can be shown. In lowest form (a) and (b) are coprime. Later both becoming even creates the contradiction.

Step 3

Exam Tip

सरलतम रूप में (a) और (b) सहभाज्य होते हैं। बाद में दोनों सम निकलना इसी से विरोधाभास बनाता है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में \(\frac{a}{b}\) को सरलतम रूप में क्यों लिया जाता है? / Why is \(\frac{a}{b}\) taken in lowest form in the proof of \(\sqrt{2}\)?

Correct Answer: C. ताकि सहभाज्य शर्त से विरोधाभास दिख सके / So that contradiction with coprime condition can be shown. Explanation: सरलतम रूप में (a) और (b) सहभाज्य होते हैं। बाद में दोनों सम निकलना इसी से विरोधाभास बनाता है। / In lowest form (a) and (b) are coprime. Later both becoming even creates the contradiction.

Which concept should I revise for this Mathematics MCQ?

In lowest form (a) and (b) are coprime. Later both becoming even creates the contradiction.

What exam hint can help solve this Mathematics question?

सरलतम रूप में (a) और (b) सहभाज्य होते हैं। बाद में दोनों सम निकलना इसी से विरोधाभास बनाता है।