Odd and Even Square Numbers
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.
Read more about this topic: Square Number
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—Samuel Johnson (1709–1784)
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—Henry David Thoreau (1817–1862)
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—Eric Hoffer (1902–1983)