1. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.7 - 1

2. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.7 - 2 Roots, Radicals, and Root Functions Chapter 9

3. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.7 - 3 9.7 Complex Numbers

4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 4 9.7 Complex Numbers Objectives 1.Simplifying numbers of the form, where b >0. 2.Recognize subsets of the complex numbers. 3.Add and subtract complex numbers. 4.Multiply complex numbers. 5.Divide complex numbers. 6.Find powers of i.

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 5 9.7 Complex Numbers Simplify Numbers of the Form, Where b >0

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 6 9.7 Complex Numbers Simplify Numbers of the Form, where b >0

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 7 9.7 Complex Numbers Simplify Numbers of the Form, where b >0

8. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 8 9.7 Complex Numbers Multiplying Square Roots of Negative Numbers

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 9 9.7 Complex Numbers Multiplying Square Roots of Negative Numbers

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 10 9.7 Complex Numbers Dividing Square Roots of Negative Numbers

11. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 11 9.7 Complex Numbers Recognize Subsets of the Complex Numbers

12. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 12 9.7 Complex Numbers Recognize Subsets of the Complex Numbers Imaginary part of the number Real part of the number Examples: Pure imaginary number All written in standard form

13. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 13 9.7 Complex Numbers Adding and Subtracting Complex Numbers Adding Subtracting

14. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 14 9.7 Complex Numbers Multiplying Complex Numbers

15. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 15 9.7 Complex Numbers Multiplying Complex Numbers

16. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 16 9.7 Complex Numbers Multiplying Complex Numbers

17. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 17 9.7 Complex Numbers Dividing Complex Numbers

18. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 18 9.7 Complex Numbers Dividing Complex Numbers

19. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 19 9.7 Complex Numbers Simplifying Powers of i

20. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 20 9.7 Complex Numbers Simplifying Powers of i Examples: