underscoreAna underscoreAna

12-11-2021
Mathematics

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Prove: The square of an even number is even

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ItzCutiePanda ItzCutiePanda

12-11-2021

Squares of even numbers are even, and are divisible by 4, since (2n)2 = 4n2. Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1)2 = 4n(n + 1) + 1, and n(n + 1) is always even.

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