Complex Number Calculator
Math ToolsAdd, subtract, multiply or divide complex numbers
FreePrivateInstant
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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History
All history →Complex Number Calculator — at a glance
Do arithmetic with complex numbers.
3 + 4i
1 − 2i
Calculate
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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