Complex Number Operations Calculator

Given two numbers in complex number notation, this calculator:
1) Adds (complex number addition), Subtracts (complex number subtraction), Multiplies (complex number multiplication), or Divides (complex number division) any 2 complex numbers in the form a + bi and c + di where i = √-1.
2) Determines the Square Root of a complex number denoted as √a + bi
3) Absolute Value of a Complex Number |a + bi|
4) Conjugate of a complex number a + bi
This calculator has 4 inputs.

1. a + bi + (c + di) = (a + c) + (b + d)i
2. a + bi - (c + di) = (a - c) + (b - d)i
3. (a * c) + (b * c) + (a * d) + (b * d)
4. The square root of a complex number a + bi, is denoted as root1 = x + yi and root2 = -x - yi
5. |a + bi| = sqrt(a² + b²)
6. a + bi has a conjugate of a - bi and a - bi has a conjugate of a + bi.

For more math formulas, check out our Formula Dossier