squares of all even numbers will be___
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squares of all even numbers will be even
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Step-by-step explanation:
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.
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