2. Square Root Vocab
The square root symbol is called
a “radical sign”
The number inside is the “radicand”

3. Properties:
Product Property
Quotient Property

4. Simplifying Square Roots
A square root is simplified when the
radicand has no perfect square
factors (other than 1).

5. Method 1:
Use Product Property to rewrite
using largest perfect square factor.
Simplify
Example:

6. Method 2:
Make a factor tree.
Any number that “finds a date” gets
to go outside the radical.
Example:

7. Examples:
Simplify:

8. You Try!
Simplify:

9. More Examples:
Simplify:

10. You Try!
Simplify:

11. Using the Quotient Property
Simplify

12. Examples:
Simplify:

13. You Try!
Simplify:

14. Evaluating Square Roots
1. Plug in given values for each
variable. USE PARENTHESES!!
2. Simplify under the radical sign.
3. Reduce/simplify the square root.

15. Example
Evaluate when a = 2,
b = -8, and c = 4.

16. Example
Evaluate when a = 20 and
b = 16

17. You Try!
Evaluate when a = 2,
b = -6, and c = -5.

18. Simplifying Radical
Expressions
Simplify the radical (square root) first.
Then divide/reduce.
Example:

19. Example:
Simplify:

20. Example:
Simplify:

21. Example:
Simplify:

22. You Try!



23. Simplifying Variable
Expressions
For expressions like this:
Simplify the number part as usual.
Pairs of each variable go outside.

24. Example:
Simplify

25. Example:
Simplify

26. Example:
Simplify

27. You Try!
Simplify:

28. Example:
Simplify

29. Example:
Simplify

30. You Try!
Simplify