\(\sqrt{3}\) के प्रमाण में (p) और (q) दोनों (3) से विभाज्य निकलने के बाद अंतिम निष्कर्ष क्या है?

In the proof of \(\sqrt{3}\), after both (p) and (q) become divisible by (3), what is the final conclusion?

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

C. \(\sqrt{3}\) अपरिमेय है\(\sqrt{3}\) is irrational

Step 1

Concept

A common factor (3) contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{3}\) अपरिमेय है / \(\sqrt{3}\) is irrational. A common factor (3) contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.

Step 3

Exam Tip

दोनों में सामान्य गुणनखंड (3) मिलना सहभाज्य शर्त से विरोधाभास है। इसलिए \(\sqrt{3}\) अपरिमेय है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{3}\) के प्रमाण में (p) और (q) दोनों (3) से विभाज्य निकलने के बाद अंतिम निष्कर्ष क्या है? / In the proof of \(\sqrt{3}\), after both (p) and (q) become divisible by (3), what is the final conclusion?

Correct Answer: C. \(\sqrt{3}\) अपरिमेय है / \(\sqrt{3}\) is irrational. Explanation: दोनों में सामान्य गुणनखंड (3) मिलना सहभाज्य शर्त से विरोधाभास है। इसलिए \(\sqrt{3}\) अपरिमेय है। / A common factor (3) contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.

Which concept should I revise for this Mathematics MCQ?

A common factor (3) contradicts the coprime condition. Therefore \(\sqrt{3}\) is irrational.

What exam hint can help solve this Mathematics question?

दोनों में सामान्य गुणनखंड (3) मिलना सहभाज्य शर्त से विरोधाभास है। इसलिए \(\sqrt{3}\) अपरिमेय है।