±Free
Complex arithmetic
Add, subtract, multiply or divide complex numbers in rectangular form.
Enter a + bi and c + di using their real and imaginary components, then choose an operation. Multiplication uses i² = −1; division uses the conjugate and the denominator c² + d².
How to use
- Enter your text, values, or image.
- Adjust the options and run the tool.
- Copy or download your result.
Worked example
Example input
First real part: 1 First imaginary part: 2 Second real part: 3 Second imaginary part: 4 Operation: multiply
Example result
{
"real": -5,
"imaginary": 10
}Limitations and details
Dividing by the complex number zero is rejected; polar input, symbolic algebra and arbitrary-precision arithmetic are not supported.
Inputs and options
- First real part
- Number
- First imaginary part
- Number
- Second real part
- Number
- Second imaginary part
- Number
- Operation
- Multiply / Add / Subtract / Divide
Frequently asked questions
Is this tool free and private?
Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.