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10.2 SIMPLIFYING RADICALS:

Radical Expression: The expression that contains a radical. 10.2 SIMPLIFYING RADICALS:. Radicand . Radical. GOAL:. Multiplication Property of Square Roots:. 1) For a ≥ 0, b ≥ 0, . 2) For a ≥ 0, b ≥ 0, . Ex: What is the simplest form of: 1) 2) 3) . SOLUTION:.

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10.2 SIMPLIFYING RADICALS:

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  1. Radical Expression: The expression that contains a radical. 10.2 SIMPLIFYING RADICALS: Radicand Radical

  2. GOAL:

  3. Multiplication Property of Square Roots: 1) For a ≥ 0, b ≥ 0, 2) For a ≥ 0, b ≥ 0, Ex: What is the simplest form of: 1) 2) 3)

  4. SOLUTION: To simplify we must provide the prime factors and perfect squares of each integer given. 1)  9   2)  6    2x 3)  

  5. REAL-WORLD: A rectangular door in a museum is three times as tall as it is wide. What is a simplified expression for the maximum length of a painting that fits through the door?

  6. SOLUTION: From the given sketch, we have the following:  c = ? a = w and b = 3w Using Pythagorean Theorem: a2+b2 = c2  (w)2+(3w)2 = c2  w2+9w2 = c2  10w2 = c2  c =  c = -w or +w  Length cannot be negative thus: c = w

  7. Division and Rationalize Property of Square Roots: 1) DIVISION: For a ≥ 0, b ≥ 0, 2)RATIONALIZE: For a ≥ 0, b ≥ 0, =∙ = = Ex: What is the simplest form of: 1) 2) 3)

  8. SOLUTION: To simplify we must provide the prime factors and perfect squares of each integer given. 1)   2)     3)   

  9. VIDEOS: Radicals Simplifying Radicals: http://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radicals http://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions

  10. CLASSWORK:Page 604-605: Problems: 1, 2, 3, 4, 5, 6, 7, 10, 19, 25, 27, 32, 36, 41, 46, 48.

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