Typically, the conjugate appears in text with a horizontal bar over the complex number.

The conjugate is used to divide a complex number by another.

In other words, the divisor is converted into a real number which we know how to divide by.

The conjugate of a complex number.

This is equal to the following formula in Excel.

In practice, Excel provides the IMDIV function to perform complex division.

IMDIV Function

The Excel IMDIV function returns the quotient of two complex numbers.

The conjugate of a complex number.

IMREAL Function

The Excel IMREAL function returns the real part of a complex number.

IMAGINARY Function

The Excel IMAGINARY function returns the imaginary part of a complex number.

The conjugate of a complex number.

The conjugate of a complex number.

The conjugate of a complex number.

How does one define complex division?

Complex division using the conjugate.

Excel COMPLEX function

Excel IMDIV function

Excel IMREAL function

Excel IMAGINARY function