1. 4 minutes
Warm-Up
Simplify 1) 2)
3) For what values of x is real?

2. 11.3 Simplifying Radical Expressions
Objectives:
To simplify radical expressions

3. Taking a Dive
Sean is vacationing in the Bahamas and decides to go skydiving. He jumps from a plane
1,600 feet in the air. When there is no air resistance you can determine the time, t, in seconds, it takes a skydiver to reach the ocean by using the formula t = , where h is the distance the
skydiver falls. How long will it take for the Sean to reach the ocean?

4. Product Property for Radicals
So,
For any nonnegative real numbers a and b,

5. Example 1
Simplify

6. Example 2
Simplify

7. Example 3
Simplify

8. Example 4
Simplify

9. Practice
Simplify. 1) 2) 3)

10. Example 5
Simplify

11. Example 6
Simplify

12. Practice
Simplify. 1) 2) 3)

13. Cube Roots
since 23 = 8
since -23 = -8

14. Example 7
Simplify

15. Homework
p.493 #3,7,11,13,17,21,23,27,31,35,39
p.494 #3,7,11,15