In the proof of (\sqrt{3}), after getting (q^2=3k^2), which form can be written for (q)?

Question

Answer and explanation

Correct answer: (q=3r)

Step 1: From (q^2=3k^2), (q^2) is divisible by (3). Step 2: Since (3) is prime, (q) is divisible by (3). Step 3: Therefore (q=3r) can be written.

What is the correct answer to this question?

(q=3r)

Why is this the correct answer?

Step 1: From (q^2=3k^2), (q^2) is divisible by (3). Step 2: Since (3) is prime, (q) is divisible by (3). Step 3: Therefore (q=3r) can be written.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.