1. Quiz Review

2. GSE Algebra I
Today’s Question:
How do we simplify square roots?

3. Square Roots and Simplifying Radicals

4. Prime Numbers …

5. Radicals are in SIMPLEST FORM when..
1. No perfect square factors other than 1 are under the radical.
No fractions are under the radical.
No radicals are in the denominator.

6. Factor Trees to Prime Factorization45

7. Factor Trees to Prime Factorization54

8. Factor Trees to Prime Factorization98

9. When you have a pair, bring the number out.
EX:1 Simplify.
When you have a pair, bring the number out.

10. When you have a pair, bring the number out.
EX:2 Simplify
When you have a pair, bring the number out.

11. EX:3

12. EX:4 Simplify.

13. You try!

14. Variables as Radicands
Even Exponent –
ODD Exponent –
Take HALF out (nothing left under the radical)
Leave ONE under the radical and take HALF of the rest out

19. Multiplying Radicals

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

21. Example 1
Multiply then simplify if possible.

22. Example 2
Distribute then simplify if possible.

23. Your Turn

24. Add and Subtract Radicals
You can only add or subtract radicals that have the EXACT SAME radicand.
Then add/subtract ONLY the number OUTSIDE the radical
Then, check to see if you can simplify!!

25. Example 1

26. Example 2
Sometimes you have to simplify 1st then see if you can add.

27. Simplify

28. Simplify

29. Simplify

30. Simplify

31. Simplify

32. Simplify

33. Simplify

34. Simplify

35. Simplify

36. Simplify

37. Simplify

38. Simplify

39. Simplify

40. Worksheet