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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 चरण (q) के (5) से विभाज्य होने से ठीक पहले आता है?

In the proof of \(\sqrt{5}\), which step comes just before concluding that (q) is divisible by (5)?

Explanation opens after your attempt
Correct Answer

A. \(q^2=5k^2\) मिलनाGetting \(q^2=5k^2\)

Step 1

Concept

After substituting (p=5k), we get \(q^2=5k^2\).

Step 2

Why this answer is correct

This makes \(q^2\) divisible by (5).

Step 3

Exam Tip

By the prime rule, (q) is said to be divisible by (5). चरण 1: (p=5k) रखने के बाद \(q^2=5k^2\) मिलता है। चरण 2: इससे \(q^2\) (5) से विभाज्य है। चरण 3: अभाज्य नियम से (q) (5) से विभाज्य कहा जाता है।

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