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Question Medium Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

\(\sqrt{5}\) की सिद्धि में कौन सा कथन गलत तर्क है?

Which statement is a wrong reasoning in the proof of \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

D. \(p^2=5q^2\) से (p=5q) सीधे मिलेगाFrom \(p^2=5q^2\), we directly get (p=5q)

Step 1

Concept

\(p^2=5q^2\) tells us divisibility of \(p^2\).

Step 2

Why this answer is correct

By the prime rule, (p) is divisible by (5), but (p=5q) does not follow directly.

Step 3

Exam Tip

In exams, writing (p=5k) is correct. चरण 1: \(p^2=5q^2\) से \(p^2\) की विभाज्यता पता चलती है। चरण 2: अभाज्य नियम से (p) (5) से विभाज्य है, लेकिन सीधे (p=5q) नहीं मिलता। चरण 3: परीक्षा में (p=5k) लिखना सही है।

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