Example input
z₁ = 3 + 4i; z₂ = 1 - 2iFree browser tool
Complex Number Calculator
Add, subtract, multiply, or divide two complex numbers and inspect rectangular, polar, degree, radian, and LaTeX output.
Rectangular form
Polar information
LaTeX
Rectangular and polar forms serve different tasks
Addition is usually simplest in rectangular form a+bi, while multiplication and division often become clearer in polar form. The argument returned by this tool is the principal angle from atan2 and can differ by integer multiples of 2π.
Worked example and guidance
Use Complex Number Calculator with a checkable example
Expected output
z₁ + z₂ = 4 + 2iFor the example above, the output should be read as a calculation under the input and branch conventions shown by the tool. Complex Number Calculator performs the browser-side transformation or calculation, but the mathematical convention, units, domain, and intended publishing format still come from your problem.
How to use it
- Enter or paste a small known number or algebraic expression before using a larger real-world example.
- Choose the required options and run Complex Number Calculator; keep the original input available for comparison.
- Read the result together with its domain restrictions, substituted values, and independent recomputation, then copy or export only after the check passes.
Useful for
- Checking a worked example
- Exploring how inputs change a result
- Preparing a clean result for a technical note
Limits and checks
- The tool may show numeric rather than symbolic results
- Extraneous or excluded solutions still require a domain check
- Browser floating-point arithmetic has finite precision
Complex Number Calculator FAQ
Does Complex Number Calculator upload my input?
No. The published tool runs in the browser. Avoid placing confidential material in share URLs or exported files that you later send elsewhere.
How should I verify a Complex Number Calculator result?
Start with the worked example, inspect the domain restrictions, substituted values, and independent recomputation, and compare one result with an independent calculation or representation.
What should I do when the input is rejected?
Reduce the input to the smallest failing number or algebraic expression, check delimiters and supported syntax, then add the remaining structure back one step at a time.
Next steps
Continue after Complex Number Calculator
Your inputs stay in this browser. Use a related guide or reference to verify the result and reuse it correctly.
Maintained reference
How this tool was checked
Tool documentation records what was tested, which sources define compatibility, and where the browser utility stops.
See the editorial and review policy, the source hierarchy, or submit a correction.