Download presentation

1
Unit 4Radicals Complex numbers

2
**Complex/Imaginary Numbers**

WHAT IS? There is no real number whose square is -25 so we have to use an imaginary number WHY? “i” is an imaginary number. “i” is equal to the square root of -1 BASICALLY: any time you see a negative under a SQUARE ROOT an “i” gets pulled out.

3
**Simplifying Radicals with Imaginary Numbers**

ALWAYS pull the “i” out first before multiplying together.

4
**Adding & Subtracting Complex Numbers**

A complex number is a number with “i” in it. Complex numbers can be written in the form : Imaginary part Real part To add or subtract complex numbers combine the real parts and combine the imaginary parts separately.

5
**Adding & Subtracting Complex Numbers**

6
**Multiplying Complex Numbers**

You multiply complex numbers like you would binomials. (Double Distribute, Box, FOIL…etc)

7
**Dividing Complex Numbers**

Remember that we don’t want to leave a radical in the denominator. To simplify a quotient, multiply by the conjugate of the denominator. Conjugate – change only the middle sign CONJUGATE = CONJUGATE = CONJUGATE =

8
**Rationalize the Denominator**

Simplify Imaginary # song

9
i Since “i” raised to a power follows a pattern you can easily find the answer by dividing the exponent by 4 and using the remainder to simplify. 4 goes into 12, 3 times with a remainder of zero. 4 goes into 22, 5 times with a remainder of 2 What about higher exponents? 4-7? 4 goes into 33, 8 times with a remainder of 1

Similar presentations

OK

Warm-Up: December 13, 2011 Solve for x:. Complex Numbers Section 2.1.

Warm-Up: December 13, 2011 Solve for x:. Complex Numbers Section 2.1.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on uses of soil Ppt on power sharing in democracy only 20% Ppt on solar system for class 8 Ppt on producers consumers and decomposers video Ppt on different occupations pictures Ppt on supply chain management of nokia phones Ppt on data collection methods in quantitative research Ppt on field study in education Waters view ppt on mac Ppt on bridges in computer networks