4Prove whether the following statement is true or falseSolut

4.Prove whether the following statement is true or false:

Solution

I believe the contrapositive method should be correct but i get,

The contrapositive of this statement should be,

(If x is rational, then x is rational)

Then I end up with x=m²/n² for m,n to be integers and n does not equal 0.

Is it careless to be done with the proof since we are saying that x=m²/n² is a rational number therefore the contrapositive is true, therefore the original statement is also true