This chapter begins with the basics of square roots and moves on to solving equations containing either radicals or exponents. Radicals are added, subtracted, multiplied, and divided, and the Pythagorean Theorem, a common application of square roots, is reviewed. The chapter ends with a lesson on cube roots.

What you can expect to learn

After completing these activities you should be able to

  1. Simplify square roots and expressions containing square roots, and be able to estimate square roots that are irrational numbers. 
  2. Solve equations containing radicals.
  3. Solve equations containing exponents.
  4. Find side lengths of right triangles using the Pythagorean Theorem. 
  5. Simplify, multiply, and divide radicals and radical expressions. 
  6. Simplify, add, and subtract radicals and radical expressions.
  7. Simplify cube roots and estimate cube roots that are not integers.
Activity List