किस विकल्प में \(\sqrt{2}\) के प्रमाण में गलत निष्कर्ष पहचाना गया है?

Which option identifies a wrong conclusion in the proof of \(\sqrt{2}\)?

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

C. (a) और (b) दोनों सम होकर भी सहभाज्य हैं(a) and (b) are coprime even though both are even

Step 1

Concept

If both are even then (2) is a common factor. Therefore they cannot be coprime.

Step 2

Why this answer is correct

The correct answer is C. (a) और (b) दोनों सम होकर भी सहभाज्य हैं / (a) and (b) are coprime even though both are even. If both are even then (2) is a common factor. Therefore they cannot be coprime.

Step 3

Exam Tip

दोनों सम हों तो (2) सामान्य गुणनखंड है। इसलिए वे सहभाज्य नहीं हो सकते।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{2}\) के प्रमाण में गलत निष्कर्ष पहचाना गया है? / Which option identifies a wrong conclusion in the proof of \(\sqrt{2}\)?

Correct Answer: C. (a) और (b) दोनों सम होकर भी सहभाज्य हैं / (a) and (b) are coprime even though both are even. Explanation: दोनों सम हों तो (2) सामान्य गुणनखंड है। इसलिए वे सहभाज्य नहीं हो सकते। / If both are even then (2) is a common factor. Therefore they cannot be coprime.

Which concept should I revise for this Mathematics MCQ?

If both are even then (2) is a common factor. Therefore they cannot be coprime.

What exam hint can help solve this Mathematics question?

दोनों सम हों तो (2) सामान्य गुणनखंड है। इसलिए वे सहभाज्य नहीं हो सकते।