Free 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) 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.

a + bi + (c + di) = (a + c) + (b + d)i

a + bi - (c + di) = (a - c) + (b - d)i

(a * c) + (b * c) + (a * d) + (b * d)

The square root of a complex number a + bi, is denoted as root1 = x + yi and root2 = -x - yi

|a + bi| = sqrt(a^{2} + b^{2})

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

a + bi - (c + di) = (a - c) + (b - d)i

(a * c) + (b * c) + (a * d) + (b * d)

The square root of a complex number a + bi, is denoted as root1 = x + yi and root2 = -x - yi

|a + bi| = sqrt(a

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

- absolute value
- A positive number representing the distance from 0 on a number line
- addition
- math operation involving the sum of elements
- complex number
- a number that can be written in the form a + b or a - bi
- complex number operations
- conjugate
- A term formed by changing the sign between two terms in a binomial.
- division
- separate a number into parts
- multiplication
- math operation involving the product of elements
- subtraction
- math operation involving the difference of elements