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

2. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 2 9.1 Radical Expressions and Graphs Find Roots of Numbers

3. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 3 9.1 Radical Expressions and Graphs Find Roots of Numbers Simplifying Higher Roots

4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 4 9.1 Radical Expressions and Graphs Finding Principal Roots

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 5 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.

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 6 9.1 Radical Expressions and Graphs Graphs of Functions Defined by Radical Expressions

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 7 9.1 Radical Expressions and Graphs Graphs of Functions Defined by Radical Expressions

8. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 8 9.1 Radical Expressions and Graphs Graphs of Functions Defined by Radical Expressions

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 9 9.1 Radical Expressions and Graphs Use a Calculator to Find Roots Examples:

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 10 9.1 Radical Expressions and Graphs Using a Calculator to Find the Velocity of an Orbiting Body