Complex Number Calculator
Perform arithmetic on complex numbers in rectangular (a+bi) or polar form. Supports add, subtract, multiply, divide, power, square root.
Binary Operations (A op B)
A + B
4.0000 + 2.0000i
A − B
2.0000 + 6.0000i
A × B
11.0000 -2.0000i
A ÷ B
-1.0000 + 2.0000i
Unary Operations on A
|A| (Modulus)5.000000
arg(A) (Argument)0.927295 rad = 53.1301°
Ā (Conjugate)3.0000 -4.0000i
√A (Square root)2.0000 + 1.0000i
A² (Square)-7.0000 + 24.0000i
Polar Form5.0000 ∠ 53.1301°
📝 Input Format
3+4i
3 + 4i
-2.5-1.3i
−2.5 − 1.3i
5i
Pure imaginary
7
Real number