Slide 1Rationalizing the Denominator Radical expressions, at times, are easier to work with if the denominator does not contain a radical. The process to clear the denominator…

Slide 1 Slide 2 Consider the quadratic equation x 2 + 1 = 0. Solving for x, gives x 2 = – 1 We make the following definition: Complex Numbers Slide 3 Note that squaring…

Slide 1Slide 6-1 COMPLEX NUMBERS AND POLAR COORDINATES 8.1 Complex Numbers 8.2 Trigonometric Form for Complex Numbers Chapter 8 Slide 2 Slide 8-2 and i is the imaginary unit…

Slide 1ENGG2013 Unit 20 Extensions to Complex numbers Mar, 2011. Slide 2 Definition: Norm of a vector By Pythagoras theorem, the length of a vector with two components [a…

Slide 1 Slide 2 Examples: Product Rule for Square Roots 6.2 – Simplified Form for Radicals Slide 3 Examples: Quotient Rule for Square Roots 6.2 – Simplified Form for…

Slide 1 10.7 Complex Numbers Slide 2 Objective 1 Simplify numbers of the form where b > 0. Slide 10.7- 2 Slide 3 Imaginary Unit i The imaginary unit i is defined as That…

Section 7 Chapter 8 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 2 6 5 3 4 Complex Numbers 8.7 Copyright © 2012, 2008, 2004 Pearson Education, Inc.…

Consider the quadratic equation x2 + 1 = 0. Solving for x , gives x2 = – 1 We make the following definition: Complex Numbers Complex Numbers Note that squaring both sides…

SECT P.6 ⦠COMPLEX NUMBERS The Solutions to x2 + 9 = 0 DEFINITION⦠A complex number ⦠any number written in the form a + bi a is the real part b is the imaginary…

How do we divide complex numbers? Do Now: Express as an equivalent fraction with a rational denominator. Identities & Inverses real numbers - complex numbers - real numbers…