1. Have your project out and ready for collection!
BELL-WORK
Have your project out and ready for collection!

2. Return Work

3. Trips

4. End Of Year Final Assessment
May 22 Part I
May 23 Part II

5. Due tomorrow: PW 10-2 # 1-21(even)
HW 4.4(a)
Due tomorrow:
PW 10-2 # 1-21(even)

6. Guiding question:
What is a simplified radical?

7. Chapter 10: Radical expressions and equations

8. Radical Expressions
Any expression that contains a radical (square root symbol) is known as a radical expression.

9. Radical Expressions
Any expression that contains a radical (square root symbol) is known as a radical expression.
Example: √5,

10. Simplifying Radicals Simplest radical form means that:
the quantity under the radical has no perfect square as its factor, and
there are no radicals in the denominator.

11. Simplifying Radicals What are the perfect squares? 1, 4, 9, 16, etc.
So when we simplify, we make sure that the number under the radical is not divisible by any of these numbers.

12. Simplifying Radicals
Example: Simplify √28

13. Simplifying Radicals
Example: Simplify √28 =

14. Simplifying Radicals Example: Simplify √28 =
To help simplify radicals we can use the:
Multiplication property of square roots
a ≥ 0, b ≥ 0

15. Simplifying Radicals
Therefore √28 =

16. Simplifying Radicals
Therefore √28 =
= 2√7

17. Example: Simplify √192 = √64•√3 = 8√3
Simplifying Radicals
Example: Simplify √192
= √64•√3
= 8√3

18. Simplifying Radicals
Example: Simplify

19. Simplifying Radicals
Example: Simplify =

20. Simplifying Radicals
Example: Simplify =

21. Simplifying Radicals
Example: Simplify =

22. Simplifying Radicals
Example: Simplify =

23. Simplifying Radicals
Example:

24. Simplifying Radicals
Example:

25. Simplifying Radicals
Example:

26. Simplifying Radicals
Example:

27. Simplifying Radicals
Example:

28. Simplifying Radicals
Simplify

29. Simplifying Radicals
Simplify =

30. Simplifying Radicals
Simplify =

31. Simplifying Radicals
Simplify =

32. Simplifying Radicals
Simplify =

33. Simplifying Radicals

34. Simplifying Radicals
42x√10

35. Who wants to answer the Guiding question?
What is a simplified radical?

36. In the CW section of your notebook complete: TB pg 610 # 10,-21(even)