In this lesson you'll learn how to multiply and divide radicals. There are some rules for multiplying and dividing that we are going to cover. Also, this lesson covers rationalizing the denominator. There are only a few rules that you have to remember when working with radicals and the good news is we have seen many of these already. For example, you can change radicals into fractional exponents. If you want to combine them for division, you can separate those out if you want to separate them out over multiplication. You'll learn which properties you can use with radicals, like the commutative property, and the associative property.
When multiplying radical expressions of the same index we can combine them into a single radical.
Watch for situations that we need to use FOIL in the multiplication process. These situations involve two binomials.
To divide by a radical with rationalize its denominator. This means we multiply the top and bottom by an expression that completes the rational in the denominator. There should no longer be any radicals in the denominator.
When dividing by a binomial that has a rational expression use the conjugate of the expression. The conjugate is almost the same, but is connected by a different sign.
Multiply & Divide Radicals
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.