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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 NowStart now and get better math marks!

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 $w+\overline{z}$

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