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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

समीकरण \(p^2=3q^2\) से \(p^2\) के बारे में क्या पता चलता है?

From the equation \(p^2=3q^2\), what do we know about \(p^2\)?

Explanation opens after your attempt
Correct Answer

A. \(p^2\) (3) से विभाज्य है\(p^2\) is divisible by (3)

Step 1

Concept

In \(p^2=3q^2\), the right side has factor (3).

Step 2

Why this answer is correct

So \(p^2\) is divisible by (3).

Step 3

Exam Tip

If a square is divisible by a prime, the original number is also divisible by that prime. चरण 1: \(p^2=3q^2\) में दाईं ओर (3) गुणनखंड है। चरण 2: इसलिए \(p^2\) (3) से विभाज्य है। चरण 3: जिस अभाज्य संख्या से वर्ग विभाज्य हो, मूल संख्या भी उससे विभाज्य होती है।

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