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Prove carefully that if the square of an integer is even the

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Prove carefully that if the square of an integer is even then the integer itself is even.(You will need to assume some facts about the integers but you should state clearly what they are and you should make them as simple as possible.)
Prove carefully that if the square of an integer is even the
是证明 一个数的平方是偶数 那么这个数是偶数
if an integer is 2n then the square of the integer is 4n^2=2(2n^2) 2x2=4
if an integer is 2n+1 then the square of the integer is 4n^2+4n+1=2(2n^2+2n)+1 3x3=9
2n表示偶数 2n+1表示基数