## Introduction to Simplifying Roots and Rational Exponents

Did you know that you can take the $6th$ root of a number? You have probably heard of a square root, written $\sqrt{}$, but you can also take a third, fourth and even a $5,000th$ root (if you really had to). In this lesson we will learn how a square root is defined and then we will build on that to form an understanding of nth roots.  We will use factoring and rules for exponents to simplify mathematical expressions that contain roots.