Simplifying Radical Expressions

Objective: to find the sum, difference, product, or quotient in the simplest form

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Go over homework

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Properties of radicals

if n is a positive even integer

if n is a negative even integer

For example, and

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Example 1) Simplify each expression by using the properties of radicals

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Practice: simplify each expression

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Product and Quotient Properties of Radicals

For a ≥ 0 , b ≥ 0 , and positive integer n:

and

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Example 2) Simplify each expression.

what did I do here?

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Practice: simplify each expression

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Example 4) Simplify each sum of difference

its possible to do 10 * 5 but none of those would square

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Practice: simplify each sum or difference

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Example 4) Simplify each product

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Example 5) Write each expression with a rational denominator

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Closer:

Homework: A#7 Pg. 533 – 535 # 45 – 90 odd, 91, 92, 93, 95