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Aim: How do we multiply and divide radicals?

Aim: How do we multiply and divide radicals?. x a • x b = x a + b. Multiply:. Do Now:. x a  x b = x a - b. Divide:. Multiply the radicands. Multiplying Radicals. Radicals. Multiplying. rule #1.

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Aim: How do we multiply and divide radicals?

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  1. Aim: How do we multiply and divide radicals? xa • xb = xa + b Multiply: Do Now: xaxb = xa - b Divide:

  2. Multiply the radicands Multiplying Radicals Radicals Multiplying rule #1 • If there are coefficients, find their product, and combine the result with the radical product.

  3. Dividing Radicals Radicals Dividing • Divide the radicands rule #2 • If there are coefficients, find their quotient, and combine the result with the quotient of the radicands. Simplify.

  4. Note: 2 Model Problems Simplify: = 10

  5. Multiplying polynomial with a polynomial Model Problems Multiplying a polynomial with a monomial Distributive Property Rule #1 FOIL

  6. Model Problems Simplify. Multiply coefficients Multiply radicands Simplify

  7. Model Problems Simplify.

  8. A = parallelogram A = Model Problems - Find the areas: square A = e2 A = bh Simplify:

  9. 400 m c = 200 m 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? Pythagorean Theorem c2 = a2 + b2 c2 = 4002 + 2002 c2 = 160,000 + 40,000 c2 = 200,000

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