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- Imaginary and Complex Numbers

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Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Get Started Now- Lesson: 15:36
- Lesson: 22:01
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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 $w+\overline{z}$

49.

Imaginary and Complex Numbers

49.1

Introduction to imaginary numbers

49.2

Complex numbers and complex planes

49.3

Adding and subtracting complex numbers

49.4

Complex conjugates

49.5

Multiplying and dividing complex numbers

49.6

Distance and midpoint of complex numbers

49.7

Angle and absolute value of complex numbers

49.8

Polar form of complex numbers

49.9

Operations on complex numbers in polar form

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

Get Started Now49.1

Introduction to imaginary numbers

49.2

Complex numbers and complex planes

49.3

Adding and subtracting complex numbers

49.4

Complex conjugates

49.5

Multiplying and dividing complex numbers

49.6

Distance and midpoint of complex numbers

49.7

Angle and absolute value of complex numbers

49.8

Polar form of complex numbers

49.9

Operations on complex numbers in polar form