because that's the theory of maths
even x even = even
even x odd = odd
even + even = even
even + odd = odd
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An odd number squared would always equal an odd number and an even number squared would always equal an even
A number squared means that the number is multiplied by itself.
If a number is to the power of 2 it is "squared". The number that is squared is the "root".
When a number is squared, it has been multiplied by itself. For instance: 4 squared means 4x4, which is equal to 16.
No. The power 2, which denotes squared, is one of an infinite number of possible values for the index. Indices (or powers) can be negative, fractional, irrational or even complex.