# How do you simplify #root3(150)*root3(20)#?

##### 1 Answer

Oct 21, 2016

#### Explanation:

Dealing with roots is the same as dealing with exponents. Except the exponents for roots are fractions. Like this:

That means we can apply the distributive property of exponents to roots as well:

Now to our problem. If we factor both numbers we get that:

so our problem becomes:

Then we can combine both under one root, like so:

As you can see there are three 5s and three 2s in there, meaning we can take them to the outside of the root like this:

or even better: