Is the Set of All Squares of Positive Integers Countable $S = \left\{ m \in \mathbf { Z } \mid m = k ^ { 2 } \right.$

question 16

Essay

Is the set of all squares of positive integers countable? That is, is the set $S = \left\{ m \in \mathbf { Z } \mid m = k ^ { 2 } \right.$ for some positive integer $k \}$ a countable set. Justify your answer.

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