Complex Number Calculator

Math Tools

Add, subtract, multiply or divide complex numbers

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First number: real part (a)
First number: imaginary part (b)
Operation
Second number: real part (c)
Second number: imaginary part (d)
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Height

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History

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Complex Number Calculator — at a glance

Do arithmetic with complex numbers.

You enter
3 + 4i
1 − 2i
Calculate
Result
Result a + bi

How to use it — step by step

The real and imaginary parts of two numbers and the operation.

1

Enter your values

Fill in the fields. Default numbers are shown so you can see how it works.

2

Press Calculate

The answer appears at once as large result cards.

3

Copy or share

Copy the result, or share a link that opens with your numbers filled in.

Pro tips

Small things that make the result better.

✦i squared equals -1.
✦The magnitude is √(a² + b²).
✦The angle is shown in degrees.

Quick facts

Freeno signup
Privateruns in your browser
Instantresult in a second
No limituse it as often as you like

Frequently Asked Questions

How is division done?+

Multiply the top and bottom by the conjugate of the bottom number.

What is the conjugate?+

The same number with the sign of the imaginary part flipped.

Is my data safe?+

Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.

Is this tool really free?+

Yes — completely free, no signup, no watermark and no usage limit.

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