2. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Aim: How do we multiply and divide radicals? Do Now: x a x b = x a + b Divide: x a  x b = x a - b Multiply:

3. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Multiplying Radicals Multiplying Multiply the radicands If there are coefficients, find their product, and combine the result with the radical product. rule #1

4. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Dividing Radicals Dividing Divide the radicands If there are coefficients, find their quotient, and combine the result with the quotient of the radicands. Simplify. rule #2

5. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Model Problems Simplify: Note: 2 = 10

6. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Model Problems Multiplying a polynomial with a monomial Distributive Property Rule #1 Multiplying polynomial with a polynomial FOIL

7. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Model Problems Simplify. Multiply coefficients Multiply radicands Simplify

8. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Model Problems Simplify.

9. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Model Problems - Find the areas: square A = e 2 A = parallelogram A = bh A = Simplify:

10. Aim: Multiply & Divide Radicals Course: Adv. Alg. & Trig. Application Problem A city park department rents paddle boats at docks near each entrance to the park. About how far is it to paddle from one dock to the other? 200 m 400 m Pythagorean Theorem c 2 = a 2 + b 2 c 2 = 400 2 + 200 2 c 2 = 160,000 + 40,000 c 2 = 200,000 c =