Multiplying, Dividing, and Simplifying Radicals 10.3 1.Multiply radical expressions. 2.Divide radical expressions. 3.Use the product rule to simplify radical.

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Presentation transcript:

Multiplying, Dividing, and Simplifying Radicals Multiply radical expressions. 2.Divide radical expressions. 3.Use the product rule to simplify radical expressions.

Product Rule for Radicals If both and are real numbers, then The index (root) must be the same!

Multiply:

Quotient Rule for Radicals If both and are real numbers, then

Divide:

Divide:

Simplify radicals: Look for the largest perfect square that divides into the radicand evenly.

Simplify radicals: Create a factor tower.

Divide by prime numbers! 2, 3, 5, 7, 11, …

Simplify radicals:

Simplify radicals:

Simplify radicals:

Simplify radicals:

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)

Simplify radicals: Outside Inside Outside Inside Think…

Simplify radicals: Outside Inside Think:

Simplify: 25∙3

Simplify: 16∙3

Simplify radicals:

Simplify radicals:

Simplify: 8∙3

Simplify: 25∙

Simplify: 16∙

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)

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