Mathematics / Proofs

Prove that if n^2 is even, then n is even.
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The given statement is true. If n^2 is even, then n is even.

A proof that 0.999... = 1
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The proof that 0.999... = 1 is elementary, using just the mathematical tools of comparison and addition of (finite) decimal numbers.

Proof that square root of 2 is irrational.
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The Pythagorean Theorem states that the length of the diagonal of a square is equal to the square root of 2. This proof shows that the square root of 2 is irrational.