किस कथन का उपयोग \(\sqrt{3}\) के प्रमाण में \(p^2\) से (p) तक जाने के लिए होता है?

Which statement is used to move from \(p^2\) to (p) in the proof of \(\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

D. यदि \(p^2\) (3) से विभाज्य है तो (p) (3) से विभाज्य हैIf \(p^2\) is divisible by (3), then (p) is divisible by (3)

Step 1

Concept

Prime factor (3) appears in the square only when the number has factor (3). This is the key rule of the proof.

Step 2

Why this answer is correct

The correct answer is D. यदि \(p^2\) (3) से विभाज्य है तो (p) (3) से विभाज्य है / If \(p^2\) is divisible by (3), then (p) is divisible by (3). Prime factor (3) appears in the square only when the number has factor (3). This is the key rule of the proof.

Step 3

Exam Tip

अभाज्य गुणनखंड (3) वर्ग में तभी आता है जब संख्या में (3) हो। यही प्रमाण का मुख्य नियम है।

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Mathematics Answer, Explanation and Revision Hints

किस कथन का उपयोग \(\sqrt{3}\) के प्रमाण में \(p^2\) से (p) तक जाने के लिए होता है? / Which statement is used to move from \(p^2\) to (p) in the proof of \(\sqrt{3}\)?

Correct Answer: D. यदि \(p^2\) (3) से विभाज्य है तो (p) (3) से विभाज्य है / If \(p^2\) is divisible by (3), then (p) is divisible by (3). Explanation: अभाज्य गुणनखंड (3) वर्ग में तभी आता है जब संख्या में (3) हो। यही प्रमाण का मुख्य नियम है। / Prime factor (3) appears in the square only when the number has factor (3). This is the key rule of the proof.

Which concept should I revise for this Mathematics MCQ?

Prime factor (3) appears in the square only when the number has factor (3). This is the key rule of the proof.

What exam hint can help solve this Mathematics question?

अभाज्य गुणनखंड (3) वर्ग में तभी आता है जब संख्या में (3) हो। यही प्रमाण का मुख्य नियम है।