Question: 1. (a) Prove that, for every re Z, either ' = 0 (mod 4) or r' = 1 (mod 4). (b) Use part (a), whether

1. (a) Prove that, for every re Z, either ' = 0 (mod 4) or r' = 1 (mod 4). (b) Use part (a), whether or not you have proven it, to show that no positive integer whose digits are all 5 (i.e. 5, 55, 555, 5555, 55555, etc) is a perfect square

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