Free online calculator
Complex Numbers Calculator
Evaluate complex-number arithmetic, powers, magnitudes, and conjugates using i for the imaginary unit.
Solution
Your solution will appear here
Enter a problem, use the dedicated math keys, then calculate to see the answer and explanation.
Step-by-step solutions
Clear, detailed explanations
Instant results
Accurate answers in seconds
Free to use
No sign-up required
How to Use the Complex Numbers Calculator
1
Enter a complex expression
Use i for the imaginary unit and parentheses to group terms.
2
Combine real and imaginary parts
The calculator applies complex arithmetic rules exactly.
3
Get standard form
Results are returned in a + bi form or as an exact real value.
Example
Frequently Asked Questions
How do I enter the imaginary unit?
Use i, as in 3 + 4i.
Can it calculate magnitude?
Yes. Use abs(3 + 4i) to calculate the magnitude.
More Calculators
Calculus CalculatorDerivative CalculatorIntegral CalculatorDefinite Integral CalculatorLimit CalculatorAsymptote CalculatorGradient CalculatorGraphing CalculatorAlgebra SolverEquation SolverQuadratic Formula CalculatorFactoring CalculatorSimplify CalculatorInequality CalculatorSystem of Equations CalculatorLogarithm CalculatorExponential Function CalculatorComplex Numbers CalculatorMath CalculatorFraction CalculatorMatrix CalculatorAverage CalculatorPercentage CalculatorProbability CalculatorSquare Root CalculatorLong Division CalculatorLCM CalculatorPythagorean Theorem CalculatorSequence CalculatorSum of Series Calculator