Question

Find the squares of all even numbers from 1 to 100.
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Answer 1

Answer:

Squares of even numbers are even (and in fact divisible by 4), since (2n)2 = 4n2. Squares of odd numbers are odd, since (2n + 1)2 = 4(n2 + n) + 1. It follows that square roots of even square numbers are even, and square roots of odd square numbers are odd.