1. Warm Up Simplify
1) 𝑥 2 +3 𝑥 2
2) 𝑥 2 ∙ 𝑥 4
3) (2𝑥+3)(𝑥−4)

2. 1-2 Simplifying Radicals
2 ∙ 2 = 2

3. Simplify: b)
100 16 d) c)

4. Simplify Radicals 20
5 18
2 5
15 2

5. Operations with Radicals

6. To Add or Subtract Radicals, they must have SAME Radicand (the inside)

7. =9 5
= 9 2

8. To Multiply or Divide Radicals Outside times outside Radicand times Radicand

9. 7 ∙ 3 = 21
3 11 ∙2 3 =6 33

12. Rationalize the Denominator (No square root on the bottom)

13. 𝟓 𝟑

14. 𝟓 𝟑 𝟓 𝟑 ∙ 𝟑 𝟑 = 𝟓 𝟑 𝟑

15. 𝟏 1+ 𝟑

16. Same numbers, different sign
𝟏 1+ 𝟑 𝟏 𝟏+ 𝟑 ∙ 𝟏− 𝟑 𝟏− 𝟑 = 𝟏− 𝟑 𝟏−𝟑 = 𝟏− 𝟑 −𝟐