Question

How do you multiply radical expressions?

Answer 1

One method is to make one big radical, then simplify.

`root(3)(2x^2y^6)root(3)(20xy^4)=root(3)(2x^2y^6*20x^2y^4)`

`=root(3)(40x^3y^10)=root(3)(8*5x^3y^9y)=2xy^3root(3)(5y)`

Or simplify first, then combine what's left and simplify again:

`root(3)(2x^2y^6)root(3)(20xy^4)=[y^2root(3)(2x^2)][yroot(3)(20xy)]`

`=y^3root(3)(40x^3y)=2xy^3root(3)(5y)`.