Roots, Radicals, and Root Functions

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Roots, Radicals, and Root Functions Chapter 9 Roots, Radicals, and Root Functions

9.7 Complex Numbers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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