1. Addition and Subtraction of radicals (Dissimilar radicals) Addition and Subtraction of radicals (Dissimilar radicals)

2. Review Simplify: = 3 (4) =12 a. b. c. 12 = 4 • 2 = 2 2 50 = 25 • 2 = 5 2 3 16

3. Presentation Dissimilar radicals cannot be added or subtract unless they transformed or simplify into similar radicals. If each radical in a radical expression is not in simplest form, simplify them first. = = = 3 = 4 3 – 9 • 3

4. Examples 1) 2) 32 + 128 = 16 • 2 + 64 • 2 = 16 • 2 + 64 • 2 =4 2 + 8 2 = 12 2 8 3 a – 3 a = (8 - 1) 3 a = 7 3 a

5. = = = 11 6 = 4 9 • 6 +2 4 • 6 – 25 • 6 = 4 • 3 6 + 2 • 2 6 – 5 6

6. You may need to simplify a radical before you simplify the expression. You can simplify the sums and differences of radical expressions when the expressions have the same radicand. Generalization

7. Activity 1. 2. • 7 27 – 2 12 – 3 75 3 9 • 3 – 2 4 • 3 – 3 25 • 3 = 21 3 – 4 3 – 15 3 = 2 3 = 7(3) 3 – 2(2) 3 – 3(5) 3 =

8. Evaluation a. b. c. 5x – 45x 4 12 – 6 48 – 5 24 -16 3 – 10 6 = = -2 5x 6 5 4x + 4 5 4x – 3 4x = 10 5 4x – 3 4x