1. 11.4 Multiply & Divide Radical Expressions
Algebra 2.0

2. Main Idea
We are using the Product and Quotient Properties of Square Roots to multiply and divide radical expressions.
All your skills from 11.2 and Ch 7 will be needed.

3. Ex 1 Multiplying Square Roots
Multiply terms together under radical
Multiply terms together outside the radical
Simplify

4. Practice

5. Ex 2-Using the Distributive Property
Use the Distributive Property, then simplify.

6. Practice 2

7. Ex 3-Multiplying Sums & Differences Of Radicals
Just like multiplying binomials, use FOIL or Punnett Square.

8. Practice 3

9. Ex 4-Rationalizing the Denominator
You CAN’T have square roots in the DENOMINATOR, so you must get rid of them. This is called rationalizing the denominator.
To rationalize the denominator, multiply both top and bottom by it.

10. Ex 4-Rationalizing the Denominator

11. Practice 4

12. Ex ???-Conjugates

13. CONJUGATES
To eliminate a binomial radical in the denominator, multiply by the opposite binomial on top and bottom.
Use FOIL or Punnett Square to multiply binomials.

14. Ex ???-Conjugates
Ex Ex 2

15. Conjugate Practice
# #2

16. Lesson Review
What is the multiplication and division property of square roots?
What chapter 7 method(s) did we use when multiplying two binomials?
When do we need to rationalize the denominator?
What is a conjugate?