You may want to review roots and the laws of exponents first.

The laws of exponents tell us that √(*ab*) =
√*a*√*b*. This means, for example, that
√6 = √2√3. This is useful if the thing inside
the root sign has a factor which is a square. For example,
√12 = √4√3 = 2√3. This is considered
simpler than √12.

If the thing inside the root sign has a denominator, we can also
use this rule. For example, √(2 ⁄ 3) =
√(1 ⁄ 9)√6 =
(1 ⁄ 3)√6. This is again usually
considered simpler, because the root is simpler. (The idea is
that, even without a calculator, you could probably look up or
guess what √6 comes out to approximately.) You're done when
the thing inside the root sign (called the *radicand*) is a
whole number and isn't divisible by any squares bigger than 1.

It works the same way for higher roots, like cube roots or fourth
roots. For example, ^{3}√96
= ^{3}√8 ^{3}√12 =
2 ^{3}√12. We're done because 12 isn't
divisible by any cubes.