1. 3.4 Simplify Radical Expressions
3.2, 3.4 Quiz: Friday
3.2, 3.4, 3.5, 3.7 Test: April 1

2. Properties to Remember
You can only add two radicals if the radicand is the same.
And you only add the coefficients
When multiplying radicals:
Multiply the coefficients together, and the radicands together. (always simplify)
The conjugate of a radical is the opposite sign.

3. Rationalizing the Denominator
The process of eliminating a radical from an expression’s denominator is called rationalizing the denominator.
Example:
We do NOT like having a radical in the denominator!!!!

4. What perfect square is in 28??
Example 1:
What perfect square is in 28??
Simplify the expression:

5. Example 2:
Simplify the expression:

6. You Try
Simplify the expressions:

7. Example 3:
Simplify the expression:

8. Example 4:
Simplify the expression:

9. You Try:
Simplify the expression:

10. We need to multiply by the conjugate!
Example 5:
Rationalize the denominator
We need to multiply by the conjugate!

11. We want 20 to just be 5…what perfect square can we take out?
Example 6:
Add or Subtract
We want 20 to just be 5…what perfect square can we take out?

12. Homework
P. 144 #1-24all