Show that the square of any positive integer is of the forms 4m or 4m + 1, where m is any integer.
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Let positive integer a be the any positive integer. Then, b = 4 . 0 ≤ r < 4 , So r = 0, 1, 2, 3. Hence ,Square of any positive integer is in form of 4q or 4q + 1 , where q is any integer.
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