Prove that if n^2 is even, then n is even.

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

Problem

Prove: Suppose n is an integer. If n^2 is even, then n is even.

Solution

by AskAI 
Solution:

This is true by definition of even numbers. An even number is any integer that can be divided evenly by 2. So if n^2 is even, that means n can be divided evenly by 2, which means n is even.
A.I. Evaluation of the Solution

This is a correct solution.

Evaluated at: 2022-11-11 14:09:51