Multiplying Higher Order Roots

The best way to think about roots of higher order is to turn them into fractional exponents. Here is what I mean: $$\sqrt x=x^{1/2}\;\;\;\sqrt[3]x=x^{1/3}\;\;\;\sqrt[n]x=x^{1/n}$$ Once we have done this, we can apply our properties of exponents and deal with them in that fashion.

(Video) How to Multiply Radicals with Different Indices

by eHow

Here is a good video from eHow explaining how to multiply roots of different orders.