Complex Number Calculator
Quick Examples - Click to Try
+
Addition
(3+4i)+(1-2i)
-
Subtraction
(5+3i)-(2+i)
×
Multiplication
(2+3i)×(4-i)
÷
Division
(6+8i)÷(3-4i)
|z|
Modulus
|3+4i|
∠
Argument
arg(1+i)
z̄
Conjugate
conj(4-3i)
→∠
To Polar
3+4i → r∠θ
→z
To Rect
5∠53° → a+bi
zⁿ
Power
(1+i)⁴
ⁿ√
Roots
³√8
z₁
First Complex Number
Accepts rectangular (a+bi) or polar (r∠θ°) form
⚙
Operation
Addition (z₁ + z₂)
Subtraction (z₁ - z₂)
Multiplication (z₁ × z₂)
Division (z₁ ÷ z₂)
Modulus |z₁|
Argument arg(z₁)
Conjugate z̄₁
Rectangular → Polar
Polar → Rectangular
Power z₁ⁿ
nth Roots ⁿ√z₁
z₂
Second Complex Number
n
Exponent / Root Degree
Positive integer for power or root operations
Compute