## Elementary Algebra

$\sqrt {54}=\sqrt {9\times6}=\sqrt 9\times\sqrt 6=3\times\sqrt 6=3\sqrt 6$ $\sqrt{6}$ is not a perfect square, nor does it have any factors that are perfect squares, so the expression cannot be further simplified. Therefore, it can be seen that the simplest form of $\sqrt {54}$ is indeed $3\sqrt 6$.