Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{ x : x \text{ is a perfect square} \}$
$A = \{ x : x \text{ is a perfect square} \}$
(N/A) Let $U = \mathbb{N}$ be the set of natural numbers.
The complement of set $A$ is denoted by $A^\prime$ or $A^c$.
$A^\prime = U - A = \{ x : x \in \mathbb{N} \text{ and } x \notin A \}$.
Therefore,$A^\prime = \{ x : x \in \mathbb{N} \text{ and } x \text{ is not a perfect square} \}$.
The complement of set $A$ is denoted by $A^\prime$ or $A^c$.
$A^\prime = U - A = \{ x : x \in \mathbb{N} \text{ and } x \notin A \}$.
Therefore,$A^\prime = \{ x : x \in \mathbb{N} \text{ and } x \text{ is not a perfect square} \}$.
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