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

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 mathematics courses.

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.)

Solving equations requires isolation of the variable. Equations that contain a variable inside of a radical require algebraic manipulation of the equation so that the variable “comes out” from underneath the …

Write your final answer using the given notation. The power inside the radical must be less than the index. Final answers must have positive exponents.

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.

A radical function contains a radical expression with the independent variable in the radicand. When the radical is a square root, the function is called a square root function.