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.