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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: 15:36
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- Lesson: 42:28

We have seen how conjugates had helped us simplify perplexing problems in the trigonometric identities chapter and the radical functions chapter. What if I tell you that the same principles can also be applied to complex numbers to make our lives better! In this section, we will introduce complex conjugates, as well as how to perform addition and subtraction on them.

Related Concepts: Imaginary zeros of polynomials

- 1.Find the conjugate of

$\blacksquare \;$ $3+4i$

$\blacksquare \;$ $4-\sqrt6i$

$\blacksquare \;$ $-\sqrt{10}+4i$

$\blacksquare \;$ $i-5$ - 2.Given that $z=5+6i$, determine $\overline{z}+\overline{z}$
- 3.Given that $w=i-14$, determine $\overline{w}+w$
- 4.If $z=15+2i$, $w=28i-7$, determine $w+\overline{z}$

19.

Imaginary and Complex Numbers

19.1

Introduction to imaginary numbers

19.2

Complex numbers and complex planes

19.3

Adding and subtracting complex numbers

19.4

Complex conjugates

19.5

Multiplying and dividing complex numbers

19.6

Distance and midpoint of complex numbers

19.7

Angle and absolute value of complex numbers

19.8

Polar form of complex numbers

19.9

Operations on complex numbers in polar form

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

Get Started Now19.1

Introduction to imaginary numbers

19.2

Complex numbers and complex planes

19.3

Adding and subtracting complex numbers

19.4

Complex conjugates

19.5

Multiplying and dividing complex numbers

19.6

Distance and midpoint of complex numbers

19.7

Angle and absolute value of complex numbers

19.8

Polar form of complex numbers

19.9

Operations on complex numbers in polar form