Division of Radicals.pptx

Mathematics 9

1. Division of Radicals

2. Objectives Rationalize a given radical Divide radicals with the same index

3. Remember: There should be NO radicals on the denominator.

4. Rationalization Process of making the denominator free from radicals

5. Recall: Law of Radical #1 - This applies to the process of rationalization  

6. Example 1: Solution: ( )=  

7. Example 2: Solution: ( =  

8. Activity: Table Completion Given Multiplier Product 2 3 m xy ab Given Multiplier Product 2 3 m xy ab

9. Objectives Rationalize a given radical Divide radicals with the same index

10. How to divide radicals? Remember: Law of Radical #3- Dividing radicals with the same index Divide the given radicand Rationalize if necessary  

11. How to divide radicals? Example #1: Divide = Simplify Answer  

12. How to divide radicals? Example #2: Rationalize = Simplify Answer  

13. Group Activity Each group will be given a radical expression to solve. 5 minutes will be given to talk about the solution. The group will present the solution on the board in a maximum of 2 minutes per group. (Make sure to start the presentation with a yell)

14. Objectives Rationalize a given radical Divide radicals with the same index

15. Seat Work Divide the following radical expressions and rationalize if necessary:  

16. Remember Radicals can be divided if the index are the same. If the quotient appears to have a radical on the denominator, rationalization is needed. Rationalization is applied to make the denominator free from radicals.