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## Homework Statement

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?)