# Is 193 a perfect square?

The fact that $\sqrt{193}$ is an irrational number proves that it is not a perfect square, as $\sqrt{193} = 13.89244$ without ever having an end.
Furthermore, the surrounding perfect squares are $169$ and $196$, which are ${13}^{2}$ and ${14}^{2}$ respectively. Since $169 < 193 < 196$, $193$ cannot be a perfect square.