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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!

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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 $w \cdot \overline{z}$

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