This chapter begins with explanations on how to express and simplify radicals. The four arithmetic operations are applied to radicals, and emphasis is placed on properly simplifying the results. The Pythagorean theorem leads to a discussion of the distance and midpoint formulas. Finally, 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. Find and estimate roots and convert between exponential and radical forms.
  2. Simplify radicals.
  3. Multiply radicals.
  4. Divide radicals and rationalize a denominator containing a radical.
  5. Add and subtract radicals.
  6. Use the Pythagorean theorem to find a missing side length in a right triangle, and be able to use the distance and midpoint formulas.
  7. Multiply and divide expressions containing radicals.
  8. Solve radical equations.
  9. Answer basic questions about radical functions.
Activity List