NCERT Solutions
Class 10 - Mathematics - Chapter 1: REAL NUMBERS
EXERCISE 1.2

Question. 1

Prove that \( \sqrt{5} \) is irrational.

Question. 2

Prove that \( 3 + 2\sqrt{5} \) is irrational.

Question. 3

Prove that the following are irrationals:

(i) \( \dfrac{1}{\sqrt{2}} \)

(ii) \( 7\sqrt{5} \)

(iii) \( 6 + \sqrt{2} \).