Answer
$$6$$
Work Step by Step
We can use the product rule for square roots to rewrite the two radicals as a single radical, a product of the two radicands:
$$(\sqrt 3)(\sqrt 12) = \sqrt (3\times12)$$
We multiply the factors in the radicand to get:
$$\sqrt 36$$
Since $36$ is a perfect square, we can simplify this radical by taking the square root of $36$, which is $6$:
$$6$$
