Complex Number Calculator
Add, subtract, multiply and divide complex numbers, then find real and imaginary parts, magnitude, conjugate and polar form.
Calculate with complex numbers in a + bi form
Enter complex numbers in a+bi form to perform arithmetic or inspect a single number.
The calculator separates real and imaginary parts and can return magnitude, conjugate and polar form.
Learn the concept
Try these examples
(2+3i) + (1-4i)(2+3i) - (1-4i)(2+3i)(1-4i)
Quick reference
(a+bi)(c+di) = (ac−bd) + (ad+bc)i.|a+bi| = √(a²+b²).Conjugate of a+bi is a−bi.
FAQ
How should I enter a complex number?
Use a+bi form, such as 2+3i, -4i or 5.
Can I divide complex numbers?
Yes. The calculator multiplies by the conjugate of the denominator and rejects division by 0+0i.
Sources and review
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