Section 3.4: Multiply and Divide Radical Expressions Objective: Multiply and divide radical expressions using the product and quotient rules for radicals.

An exponential expression with a fractional exponent can be expressed as a radical where the denominator is the index of the root, and the numerator remains as the exponent.

When we have a fraction where the denominator includes a radical, we change the denominator to a rational number. (This is called rationalizing the denominator.)

Module 1: Intro. to Radical Expressions and Functions The term radical is a fancy mathematical term for the things like square roots and cube roots that you may have studied in previous …

Use the Pythagorean theorem to find the length of the unknown side of the triangle. Find the distance between each pair of points.

Working with radical expressions allows you to work with both rational and irrational numbers when they are simplifying algebraic expressions. This lesson provides the foundation for …

Example 1: Simplify the following radical expressions completely. If you convert to fractional exponents, be sure to reduce those exponents as well (no improper fractions).