Answer to Question #317625 in Discrete Mathematics for Bismark Amponsah

Question

Show that the square of an even number is an even number using direct proof

Answer 1

Let x be an even number, that is, x/2 is an integer number.

Then x²/2=x*(x/2) is a product of two integer numbers, which is integer. That is, x² is divisible by 2. Thus, x² is even.