This chapter begins by presenting ways to express and simplify radicals. The four basic operations on radicals are developed, including the process of rationalizing the denominator. The development of the distance and midpoint formulas follows naturally from a discussion of the Pythagorean Theorem. The chapter concludes with solving simple 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 and sums, differences, products, and quotients of radical expressions.
  2. Solve real-life problems involving radicals.
  3. Solve radical equations.
  4. Graph radical functions.
Activity List