\(\sqrt{3}\) के प्रमाण में (\gcd(a,b)=1) न बताने से कौन-सी कमी रह जाती है?

What weakness remains if (\gcd(a,b)=1) is not stated in the proof of \(\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. दोनों (3) से विभाज्य मिलने पर विरोधाभास कमजोर हो जाता हैThe contradiction becomes weak when both are found divisible by (3)

Step 1

Concept

Without the coprime condition, common factor (3) cannot clearly show the final contradiction.

Step 2

Why this answer is correct

The correct answer is A. दोनों (3) से विभाज्य मिलने पर विरोधाभास कमजोर हो जाता है / The contradiction becomes weak when both are found divisible by (3). Without the coprime condition, common factor (3) cannot clearly show the final contradiction.

Step 3

Exam Tip

सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना अंतिम विरोधाभास नहीं दिखा पाएगा।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{3}\) के प्रमाण में (\gcd(a,b)=1) न बताने से कौन-सी कमी रह जाती है? / What weakness remains if (\gcd(a,b)=1) is not stated in the proof of \(\sqrt{3}\)?

Correct Answer: A. दोनों (3) से विभाज्य मिलने पर विरोधाभास कमजोर हो जाता है / The contradiction becomes weak when both are found divisible by (3). Explanation: सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना अंतिम विरोधाभास नहीं दिखा पाएगा। / Without the coprime condition, common factor (3) cannot clearly show the final contradiction.

Which concept should I revise for this Mathematics MCQ?

Without the coprime condition, common factor (3) cannot clearly show the final contradiction.

What exam hint can help solve this Mathematics question?

सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना अंतिम विरोधाभास नहीं दिखा पाएगा।