How to use Complex Number Calculator
- Choose an arithmetic operation.
- Enter the real and imaginary parts of both complex numbers.
- Calculate and review the rectangular and polar descriptions.
Example: Complex Number Calculator
Complex Number Calculator: Multiply 3 + 4i and 1 - 2i: 11 - 2i.
Options
- Rectangular components
- Enter real and imaginary parts as instructed. Use the same convention for both operands.
- Operation and polar form
- Choose the operation first. Magnitude and argument describe the resulting complex number, with the stated angle convention.
Supported inputs and limits
Where your input is processed
This tool processes your input in this browser. Your text and files are not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.
An angle at zero is undefined
The complex value zero has no direction, so its argument cannot identify an angle. Division also requires a nonzero denominator. Preserve the operation and angle convention when using the result elsewhere; a displayed decimal is a numerical approximation rather than an exact symbolic expression.
Questions about Complex Number Calculator
Do I enter i in the fields?
No. Enter the real and imaginary coefficients separately. For 3 + 4i, enter 3 in the real field and 4 in the imaginary field.
What does the argument describe?
It is the angle of a nonzero complex number from the positive real axis. The result states its angle convention.
Why does division by zero fail?
Zero has no multiplicative inverse, so a complex division with a zero denominator is undefined.