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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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That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

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We will continue to explore other types of operations on complex numbers. This section will focus on performing multiplication and division on complex numbers.

Basic concepts: Exponents: Zero exponent: $a^0 = 1$, Rationalize the denominator , Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$,

Related concepts: Imaginary zeros of polynomials,

- 1.Multiplying complex numbersa)$(3+i)\times(1+3i)$b)$(1-\sqrt{2}i)\times(-2+3\sqrt{2}i)$c)$(6-5i)\times(6+5i)$
- 2.Dividing complex numbersa)$(1+2i)\div(3-i)$b)$\frac{5-\sqrt{5}i}{-4+\sqrt{5}i}$c)$\frac{2-3i}{3i+2}$
- 3.Given that $z=5+6i$, determine $\overline{z}\cdot z$
- 4.Given that $w=2-5i$, $z=3+6i$ determine $w \cdot \overline{z}$

46.

Imaginary and Complex Numbers

46.1

Introduction to imaginary numbers

46.2

Complex numbers and complex planes

46.3

Adding and subtracting complex numbers

46.4

Complex conjugates

46.5

Multiplying and dividing complex numbers

46.6

Distance and midpoint of complex numbers

46.7

Angle and absolute value of complex numbers

46.8

Polar form of complex numbers

46.9

Operations on complex numbers in polar form

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

Get Started Now46.1

Introduction to imaginary numbers

46.2

Complex numbers and complex planes

46.3

Adding and subtracting complex numbers

46.4

Complex conjugates

46.5

Multiplying and dividing complex numbers

46.6

Distance and midpoint of complex numbers

46.7

Angle and absolute value of complex numbers

46.8

Polar form of complex numbers

46.9

Operations on complex numbers in polar form