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Complex Number Calculator
Add, subtract, multiply, divide, conjugate, convert to polar form, compute integer powers and n-th roots of complex numbers with RAD/DEG angle toggle and JSON export.
How to use this tool
- Enter A and B via real/imag fields or parse strings like 3+2i directly.
- Switch RAD/DEG to control argument-angle display in polar output.
- Review arithmetic, conjugates, powers, and n-th roots, then copy or download JSON results.
Perfect online complex number calculator for courses
- Experiment with sums, products, and quotients of a + bi numbers to build intuition.
- See modulus and argument to connect algebraic complex arithmetic with the geometric view in the complex plane.
- Use powers of A to explore rotations and scaling using r∠θ and cis(θ) forms.
What this complex number calculator supports
- Addition, subtraction, multiplication, and division of complex numbers in a + bi form.
- Conversion between rectangular form a + bi and polar / cis form (r, θ).
- Integer powers and n-th roots of a complex number via De Moivre-style polar methods.
FAQ
- Are angles in degrees or radians in this complex calculator?
- You can toggle between radians and degrees in the input panel; all angle displays update immediately.
- Can I compute square roots or roots of complex numbers?
- Yes. Choose n in the n-th root selector and the calculator returns all roots for A.
- What happens if B is 0 when dividing complex numbers?
- Division by zero is undefined for complex numbers just like real numbers, so the calculator shows a clear warning for A ÷ B.
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