Im trying to prove that if p is prime, then its square root is irrational.
The Attempt at a Solution
Is a proof by contradiction a good way to do this?
All i can think of is suppose p is prime and √p is a/b,
p= (a^2)/ (b^2)
Is there any property i can exploit to go on or is should i attempt other methods of proof
(contrapositive, direct, induction?)