Prove that if x is irrational and x ≥ 0, then is irrational.

Step 1 :

The objective is to prove if x is irrational , then is irrational.

Step 2 :

We can prove this by contrapositive method, the contrapositive is , if Assuming throughout x

Suppose that xfor every statement

Let us assume that = is rational , then b

= ()2 = = x is also rational.