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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 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

$\blacksquare\;$ $i^5$

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

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

18.

Imaginary and Complex Numbers

18.1

Introduction to imaginary numbers

18.2

Complex numbers and complex planes

18.3

Adding and subtracting complex numbers

18.4

Complex conjugates

18.5

Multiplying and dividing complex numbers

18.6

Distance and midpoint of complex numbers

18.7

Angle and absolute value of complex numbers

18.8

Polar form of complex numbers

18.9

Operations on complex numbers in polar form

We have over 860 practice questions in Sixth Year Maths for you to master.

Get Started Now18.1

Introduction to imaginary numbers

18.2

Complex numbers and complex planes

18.3

Adding and subtracting complex numbers

18.4

Complex conjugates

18.5

Multiplying and dividing complex numbers

18.6

Distance and midpoint of complex numbers

18.7

Angle and absolute value of complex numbers

18.8

Polar form of complex numbers

18.9

Operations on complex numbers in polar form