3.Prove that the following are irrationals : i) 1/√2   

Exercise 1.2 – Solutions

3. Prove that the following are irrational

(i) 1 / √2

Assume that 1/√2 is rational.

Then √2 = 1 ÷ (1/√2) would be rational.

But √2 is irrational.

Hence, 1/√2 is irrational.