1. Unit 8 Radicals

2. Square Roots and Simplifying Radicals

3. Radical Sign (square root sign)
Radicand
Numbers or variables under the radical sign

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. List some prime numbers.
You'll need to know
how to prime factor
to simplify square roots.
If a radicand isn’t a perfect square, you’ll prime factor.
List some prime numbers.

7. Factor Trees to Prime Factorization45

8. Factor Trees to Prime Factorization54

9. Factor Trees to Prime Factorization98

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

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

12. EX:3

13. EX:4 Simplify.

14. You try!

15. Worksheet
Simplifying Radicals

16. 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!!

17. Example 1

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

19. Simplify

20. Simplify

21. Simplify

22. Simplify

23. Simplify

24. Adding and Subtracting Radicals WS
Homework
Adding and Subtracting Radicals WS