यदि \(\sqrt{2}\) परिमेय होती तो \(\frac{a}{b}\) में कौन-सी शर्त होनी चाहिए थी?

If \(\sqrt{2}\) were rational, what condition should hold for \(\frac{a}{b}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. (a) और (b) सहभाज्य और \(b\neq0\)(a) and (b) coprime and \(b\neq0\)

Step 1

Concept

A rational number is written in lowest form as a ratio of coprime integers. The denominator cannot be zero.

Step 2

Why this answer is correct

The correct answer is A. (a) और (b) सहभाज्य और \(b\neq0\) / (a) and (b) coprime and \(b\neq0\). A rational number is written in lowest form as a ratio of coprime integers. The denominator cannot be zero.

Step 3

Exam Tip

परिमेय संख्या सरलतम रूप में सहभाज्य पूर्णांकों के अनुपात में लिखी जाती है। हर शून्य नहीं हो सकता।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\sqrt{2}\) परिमेय होती तो \(\frac{a}{b}\) में कौन-सी शर्त होनी चाहिए थी? / If \(\sqrt{2}\) were rational, what condition should hold for \(\frac{a}{b}\)?

Correct Answer: A. (a) और (b) सहभाज्य और \(b\neq0\) / (a) and (b) coprime and \(b\neq0\). Explanation: परिमेय संख्या सरलतम रूप में सहभाज्य पूर्णांकों के अनुपात में लिखी जाती है। हर शून्य नहीं हो सकता। / A rational number is written in lowest form as a ratio of coprime integers. The denominator cannot be zero.

Which concept should I revise for this Mathematics MCQ?

A rational number is written in lowest form as a ratio of coprime integers. The denominator cannot be zero.

What exam hint can help solve this Mathematics question?

परिमेय संख्या सरलतम रूप में सहभाज्य पूर्णांकों के अनुपात में लिखी जाती है। हर शून्य नहीं हो सकता।