1. Objective The student will be able to:
NOTES:
Operations with Radical Expressions
Objective The student will be able to:
Simplify radical expressions involving addition and subtraction.

2. Reminder: How to Simplify Radicals
First Method: -Rewrite radical as the product of the largest square and a number. -Separate and simplify.
Second Method:
-Create a factor tree by breaking down each factor into prime numbers.
-Create pairs of prime numbers.
-For each pair, one comes outside of the radical.
-Remainder is left inside.

3. How to Simplify Continued
Example: Simplify First Method: Second Method:

4. Adding and Subtracting Radicals

5. Which are like radicals?
1. Simplify.
Just like when adding variables, you can only combine LIKE radicals.
2. Simplify.
Which are like radicals?

6. Simplify .

7. Perimeter = Add all of the sides
3. Find the perimeter of a rectangle whose length is and whose width is
Perimeter = Add all of the sides

8. 4. Simplify.
Simplify each radical. * * * * * *
Combine like radicals.

9. 5. Simplify * * * * * *

10. Simplify .

11. Simplify .

12. Multiplying and Dividing Radicals

13. Multiplication Example
Simplify:
1. Re-order
2. Multiply
3. Simplify Radical
4. Simplify
5. Simplify

14. Division Example No Radicals in the Denominator! You must rationalize!