# complex conjugate

## Calculus complex_conjugate

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### Function : complex_conjugate

#### Summary :

complex_conjugate function calculates conjugate of a complex number online.

complex_conjugate online

#### Description :

Writing z = a + ib where a and b are real is called algebraic form of a complex number z :

When b=0, z is real, when a=0, we say that z is pure imaginary.

The conjugate of a complex number a+i⋅b, where a and b are reals, is the complex number a−i⋅b.

For calculating conjugate of the complex number following z=3+i, enter complex_conjugate(3+i) or directly 3+i, if the complex_conjugate button already appears, the result 3-i is returned.

The complex numbers calculator can also determine the conjugate of a complex expression. To calculate the conjugate of the following complex expression z=(1+i)/(1-i), enter complex_conjugate((1+i)/(1-i)) or directly (1+i)/(1-i), if the button complex_conjugate already appears, the result -i is returned.

With this function, the calculator allows the online calculation of the conjugate of a complex number.

complex_conjugate function calculates conjugate of a complex number online.

#### Syntax :

complex_conjugate(z), z is a complex number.

#### Examples :

complex_conjugate(1+i), returns 1-i

Calculate online with complex_conjugate (complex conjugate)