Learning Objectives

Chapter 9 - Radicals and Rational Exponents

1. Roots
2. Roots and Variables
3. Product Rule for Radicals
4. Quotient Rule for Radicals
5. Rationalizing the Denominator
6. Simplifying Radicals
7. Simplifying Radicals Involving Variables
8. Rational Exponents
9. Using the Rules of Exponents
10. Simplifying Expressions Involving Variables
11. Adding and Subtracting Radicals
12. Multiplying Radicals
13. Conjugates
14. Dividing Radicals
15. Rationalizing the Denominator
16. Powers of Radical Expressions
17. The Odd-Root Property
18. The Even-Root Property
19. Raising Each Side to a Power
20. Equations Involving Rational Exponents
21. Summary of Methods for Solving Equations with Radicals and Exponents
22. The Distance Formula
23. Definition of Complex Numbers
24. Addition, Subtraction, and Multiplication of Complex Numbers
25. Division of Complex Numbers
26. Square Roots of Negative Numbers
27. Imaginary Solutions to Equations