यदि किसी उत्तर में \(\sqrt{3}=\frac{p}{q}\) लिखा है लेकिन (p,q) सहभाज्य नहीं बताए, तो क्या कमी रहेगी?

If an answer writes \(\sqrt{3}=\frac{p}{q}\) but does not state (p,q) are coprime, what weakness remains?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. दोनों (3) से विभाज्य मिलने पर विरोधाभास स्पष्ट नहीं होगाThe contradiction will not be clear when both become divisible by (3)

Step 1

Concept

Without the coprime condition, getting common factor (3) will not be a decisive contradiction.

Step 2

Why this answer is correct

The correct answer is A. दोनों (3) से विभाज्य मिलने पर विरोधाभास स्पष्ट नहीं होगा / The contradiction will not be clear when both become divisible by (3). Without the coprime condition, getting common factor (3) will not be a decisive contradiction.

Step 3

Exam Tip

सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना निर्णायक विरोधाभास नहीं बनेगा।

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यदि किसी उत्तर में \(\sqrt{3}=\frac{p}{q}\) लिखा है लेकिन (p,q) सहभाज्य नहीं बताए, तो क्या कमी रहेगी? / If an answer writes \(\sqrt{3}=\frac{p}{q}\) but does not state (p,q) are coprime, what weakness remains?

Correct Answer: A. दोनों (3) से विभाज्य मिलने पर विरोधाभास स्पष्ट नहीं होगा / The contradiction will not be clear when both become divisible by (3). Explanation: सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना निर्णायक विरोधाभास नहीं बनेगा। / Without the coprime condition, getting common factor (3) will not be a decisive contradiction.

Which concept should I revise for this Mathematics MCQ?

Without the coprime condition, getting common factor (3) will not be a decisive contradiction.

What exam hint can help solve this Mathematics question?

सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना निर्णायक विरोधाभास नहीं बनेगा।