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Warm up Simplify. 1. 2. 3.

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EOCT Practice The area of a rectangle is b2 – 5b – 24 square centimeters. Its width is b + 3 centimeters. Which expression represents the length in centimeters, of the rectangle? b - 8 b + 8 b - 15 b + 15 a

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Multiplying Radicals Multiply numbers outside the radical with other numbers outside the radical. Multiply radicands with other radicands. Simplify, if possible

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Example 1 Multiply then simplify if possible.

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Example 2 Distribute then simplify if possible.

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Your Turn

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Dividing Radicals

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Dividing Radicals Check to see if you can simplify the radicands and split them up. Simplify PERFECT SQUARES. If there’s a radical in the denominator, rationalize it. Check again to see if any numbers outside the radical can simplify.

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**Rationalizing the Denominator**

Multiply top and bottom by the bottom radical Simplify the top The bottom will become the radicand

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**Reduce the fraction first.**

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**Reduce the fraction first.**

Split up the square root sign.

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**Split up the square root sign.**

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**Split up the square root sign.**

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**Split up the square root sign.**

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Reduce the fraction. Simplify perfect square.

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Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions.

Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions.

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