proof that the square root of any non-perfect square is irrational
This is a proof by contradiction.
First, let's prove the square root
Let P/Q=the square root of 2, where P and Q are positive integers and P/Q is fully simplified.
P^2/Q^2=2
P^2=2Q^2
This means P^2 is even, meaning P is even, as P^2=2* A number.
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True