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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 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

$\blacksquare\;$ $i^5$

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

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

8.

Imaginary and Complex Numbers

8.1

Introduction to imaginary numbers

8.2

Complex numbers and complex planes

8.3

Adding and subtracting complex numbers

8.4

Complex conjugates

8.5

Multiplying and dividing complex numbers

8.6

Distance and midpoint of complex numbers

8.7

Angle and absolute value of complex numbers

8.8

Polar form of complex numbers

8.9

Operations on complex numbers in polar form

We have over 310 practice questions in Trigonometry for you to master.

Get Started Now8.1

Introduction to imaginary numbers

8.2

Complex numbers and complex planes

8.3

Adding and subtracting complex numbers

8.4

Complex conjugates

8.5

Multiplying and dividing complex numbers

8.6

Distance and midpoint of complex numbers

8.7

Angle and absolute value of complex numbers

8.8

Polar form of complex numbers

8.9

Operations on complex numbers in polar form