The complex number calculator allows to perform calculations with complex numbers (calculations with i).

A **complex number** is an ordered pair of two real numbers (a, b).

- a is called the real part of (a, b);
- b is called the imaginary part of (a, b).

The **complex number online calculator**, allows to perform many operations on complex numbers.
The **complex number calculator** is also called an imaginary number calculator. The complex symbol notes i.

The complex number calculator is able to calculate complex numbers when they are in their algebraic form. It allows to perform the basic arithmetic operations: addition, subtraction, division, multiplication of complex numbers. The calculator makes it possible to determine the module , an argument , the conjugate , the real part and also the imaginary part of a complex number.

The **complex number calculator** allows to **calculates** the **sum** of
**complex numbers** **online**, to calculate the sum of complex numbers `1+i` and
`4+2*i`, enter complex_number(`1+i+4+2*i`) , after calculation, the result `5+3*i` is returned.

The **complex number** **calculator** **calculates**
the **difference** between **complex numbers** online, to calculate the difference between
complex numbers `1+i` et `4+2*i`, enter
complex_number(`1+i-(4+2*i)`) , after computation, the result `-3-i` is returned.

The **complex number calculator** allows to **multiply complex numbers**
**online**, the multiplication of complex numbers online applies to the algebraic form of complex numbers,
to calculate the product of complex numbers `1+i` et `4+2*i`, enter
complex_number(`(1+i)*(4+2*i)`) , after calculation,
the result `2+6*i` is returned.

The **complex number calculator** can **divide complex numbers online**
, to divide complex numbers `1+i` et `4+2*i`, enter
complex_number(`(1+i)/(4+2*i)`) , after calculation, the result `3/10+i/10` is returned.

To practice the different calculation techniques, several quizzes on calculations with complex numbers are proposed.

complex_number(expression)

complex_number(`(5*i+(2*i-4)/(1-i))`), returns `-3+4*i`

See also

- Amplitude of a complex number : amplitude. The amplitude calculator determines the amplitude of a complex number from its algebraic form.
- Solving quadratic equation with complex number : complexe_solve. The complex number equation calculator returns the complex values for which the quadratic equation is zero.
- Complex conjugate calculator : complex_conjugate. The online conjugate calculator returns the conjugate of a complex number.
- Exponential : exp. The function exp calculates online the exponential of a number.
- Properties of a complex number : properties_complex_number. This calculator allows you to determine the properties of a complex number: complex_number, real_part, imaginary_part, complex_modulus, amplitude, complex_conjugate.
- Complex modulus calculator : complex_modulus. The modulus calculator allows you to calculate the modulus of a complex number online.
- Complex number calculator : complex_number. The complex number calculator allows to perform calculations with complex numbers (calculations with i).
- Imaginary part of complex number : imaginary_part. The imaginary part calculator allows you to calculate online the imaginary part of a complex number.
- Real part of complex number : real_part. The real part calculator allows you to calculate online the real part of a complex number.