Explain how to multiply square roots

To multiply square roots, first multiply the radicands, or the numbers underneath the radical sign. If there are any coefficients in front of the radical sign, multiply them together as well. Finally, if the new radicand can be divided out by a perfect square, factor out this perfect square and simplify it.

When multiplying square roots, we simply multiply the values inside the square roots. So for example, let's look at the problem below.

√a · √a

So the square root of a times the square root of a equals the square root of a time a or √a² and the square root of a² is simply a.