1. Simplifying and Rationalizing
Radical Expressions
Simplifying and Rationalizing

2. Factors & Products

3. Exponents, Factors & Products

4. Radical Expressions
RADICAL SYMBOL
INDEX
ROOT
RADICAND

5. One of the equal factors of a radicand.
What is a Root?
One of the equal factors of a radicand.

6. Reducing or Simplifying Roots

7. Reducing or Simplifying Roots

8. Adding & Subtracting

9. Multiplying Radicals

10. Multiplying Radicals

11. Using Conjugates
Binomials in the form of (a+b) and (a-b) when multiplied together give the difference of two squares (a2-b2)
When used with radicals these forms are referred to as conjugates and yield rational numbers.
Take a moment and prove the following yield rational numbers:

12. Answers
-23 68

13. Conjugates used to Rationalize

14. Uses of Radicals

15. Homework Please have completed the assignments given.
p. 248 #16-56 Even
p. 254 #16-48 Even