prove that square root of even number is even number and square odd number is odd number.
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Hence the square of an odd number is always odd. Similarly any even number times another even number gives another even number. Hence the square of an even number is always even. Odd number = 2n + 1 so the square is 4n^2 + 4n + 1 = 2m + 1 , m=2n^2 + 2n = always a whole number.
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