1. Warm up
Simplify. 1. 2. 3.

2. Grade Reports
SIGNED!!!!

3. Questions over simplifying radicals

4. UNIT QUESTION: How do we simplify and operate radical expressions?
Math 1
UNIT QUESTION: How do we simplify and operate radical expressions?
Standard: MM1A2
Today’s Question:
How do we multiply and divide radicals?
Standard: MM1A2b

5. Multiplying Radicals

6. Multiplying Radicals
Multiply numbers outside the radical with other numbers outside the radical.
Multiply radicands with other radicands.
Simplify, if possible

7. Example 1
Multiply then simplify if possible.
Simplify
6 x √4 x √15

8. Example 2 Distribute then simplify if possible.
Whole numbers times whole numbers
Radicals times radicals

9. Another Example
4√12 x 3√4
7 (√ √3)

10. Your Turn

11. Dividing Radicals

12. Dividing Radicals
Check to see if you can simplify the radicands and split them up.
Simplify PERFECT SQUARES.
If there’s a radical in the denominator, rationalize it.
Check again to see if any numbers outside the radical can simplify.

13. Rationalizing the Denominator
Multiply top and bottom by the bottom radical
Simplify the top
The bottom will become the radicand

14. Reduce the fraction first.

15. Reduce the fraction first.
Split up the square root sign.

16. Split up the square root sign.

17. Split up the square root sign.

19. Split up the square root sign.

20. Reduce the fraction.
Simplify perfect square.

21. Work Space

22. Homework
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