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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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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 $w \cdot \overline{z}$

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