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- Imaginary and Complex Numbers

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 110:19
- Lesson: 28:24

Have you ever run into a situation where you want to find the square root of a negative number, but the calculator gives you nothing but a big error? Well, we will explore the meaning of this error from a different perspective. In this section, we will introduce the notion of imaginary numbers, and how to simplify them.

Basic Concepts: Converting radicals to mixed radicals, Product rule of exponents, Power of a product rule

Related Concepts: Imaginary zeros of polynomials

- 1.Simplify the roots of negative numbers

$\blacksquare\;$ $\sqrt{-16}$

$\blacksquare\;$ $\sqrt{-40}$

$\blacksquare\;$ $(-9)^{\frac{3}{2}}$ - 2.Simplify the following imaginary numbers with high powers

$\blacksquare\;$ $i^5$

$\blacksquare\;$ $i^{200}$

$\blacksquare\;$ $(\frac{3i}{2})^4$

49.

Imaginary and Complex Numbers

49.1

Introduction to imaginary numbers

49.2

Complex numbers and complex planes

49.3

Adding and subtracting complex numbers

49.4

Complex conjugates

49.5

Multiplying and dividing complex numbers

49.6

Distance and midpoint of complex numbers

49.7

Angle and absolute value of complex numbers

49.8

Polar form of complex numbers

49.9

Operations on complex numbers in polar form

We have over 2320 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now49.1

Introduction to imaginary numbers

49.2

Complex numbers and complex planes

49.3

Adding and subtracting complex numbers

49.4

Complex conjugates

49.5

Multiplying and dividing complex numbers

49.6

Distance and midpoint of complex numbers

49.7

Angle and absolute value of complex numbers

49.8

Polar form of complex numbers

49.9

Operations on complex numbers in polar form