Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.1 - 1 9.1 Radical Expressions...

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.1 - 1

9.1

Radical Expressions and Graphs

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9.1 Radical Expressions and Graphs

Find Roots of Numbers

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9.1 Radical Expressions and Graphs

Find Roots of Numbers

Simplifying Higher Roots

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9.1 Radical Expressions and Graphs

Finding Principal Roots

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9.1 Radical Expressions and Graphs

Finding Roots

Because the radicand, 25, is positive, there are two square roots, –5 and 5. The principal root is 5.

Here, we want the negative square root, –5.

The index is even and the radicand is negative, so this is not a real number.

The index is odd, so the root is –4 since (–4)3 = –64.

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9.1 Radical Expressions and Graphs

Graphs of Functions Defined by Radical Expressions

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9.1 Radical Expressions and Graphs

Graphs of Functions Defined by Radical Expressions

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9.1 Radical Expressions and Graphs

Graphs of Functions Defined by Radical Expressions

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9.1 Radical Expressions and Graphs

Use a Calculator to Find Roots

Examples:

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9.1 Radical Expressions and Graphs

Using a Calculator to Find the Velocity of an Orbiting Body