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In this section, we will… Multiply radical expressions Find powers of square roots

Chapter 8 Section 5: Multiplying and Dividing Radical Expressions. In this section, we will… Multiply radical expressions Find powers of square roots Divide radical expressions Rationalize the denominator. Multiplying and Dividing Radical Expressions:

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In this section, we will… Multiply radical expressions Find powers of square roots

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  1. Chapter 8 Section 5: Multiplying and Dividing Radical Expressions • In this section, we will… • Multiply radical expressions • Find powers of square roots • Divide radical expressions • Rationalize the denominator

  2. Multiplying and Dividing Radical Expressions: Examples: Simplify each expression. Assume that all variables are positive.

  3. Examples: Simplify each expression. Assume that all variables are positive. Vegas Rule

  4. Examples: Simplify each expression. Assume that all variables are positive.

  5. Examples: Simplify each expression. Assume that all variables are positive.

  6. Rationalizing Denominators: Recall that simplifying a radical expression means that no radicals appear in the denominator of a fraction. Examples: Simplify each expression. Assume that all variables are positive.

  7. Rationalizing Binomial Denominators: example: Examples: Simplify each expression. Assume that all variables are positive. The conjugate of the binomial a + b is a – b and the conjugate of a – b is a + b.

  8. Independent Practice You learn math by doing math. The best way to learn math is to practice, practice, practice. The assigned homework examples provide you with an opportunity to practice. Be sure to complete every assigned problem (or more if you need additional practice). Check your answers to the odd-numbered problems in the back of the text to see whether you have correctly solved each problem; rework all problems that are incorrect. Read pp. 675-682 Homework: pp. 682-685 #1, 2, 21-29 odds, 33, 35, 41, 43, 49, 51, 53, 67, 69, 71, 77, 79, 85, 87, 97, 99, 105, 115, 125, 139, 143 Don’t leave your grades to chance…do your homework!

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