Radicals and Exponents


This chapter covers addition, subtraction, multiplication, division, and simplification of radical expressions, as well as conversion between radical expressions and expressions with fractional exponents. These skills are applied to solving radical equations and graphing radical functions.

What you can expect to learn

After completing these activities you should be able to:

  1. Simplify radical expressions.
  2. Evaluate expressions containing rational exponents and convert expressions between exponential form and radical form.
  3. Add and subtract radical expressions.
  4. Multiply radical expressions.
  5. Divide radical expressions and rationalize denominators.
  6. Solve equations containing radical or exponential expressions.
  7. Identify the domain and range of radical functions.
Activity List