# The Excel IMCONJUGATE Function

## Function Description

The Excel IMCONJUGATE function returns the complex conjugate of a supplied complex number.

The syntax of the function is:

IMCONJUGATE( inumber )

where the inumber argument is a complex number.

## Excel Imconjugate Function Examples

In the spreadsheets below, the Excel Imconjugate function is used find the complex conjugate of five different complex numbers.

Formulas:
A
1=IMCONJUGATE( "5+2i" )
2=IMCONJUGATE( "2-i" )
3=IMCONJUGATE( 6 )
4=IMCONJUGATE( "3i" )
5=IMCONJUGATE( "4+i" )
Results:
A
15-2i
22+i
36
4-3i
54-i

Note that, in the above example spreadsheet, the integer 6, used in cell B3, is equal to the complex number 6+0i.

Further details of the Excel Imconjugate function are provided on the Microsoft Office website.

## Imconjugate Function Errors

If you get an error from the Excel Imconjugate Function, this is likely to be one of the following:

Common Errors
 #NUM! - Occurs if the supplied inumber argument is not recognised as a complex number. #VALUE! - Occurs if the supplied inumber argument is a logical value.