IMCONJUGATE Google Sheet Formula

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IMCONJUGATE Formula Syntax

=IMCONJUGATE("3+4i")

Example Use Case

Calculating the complex conjugate of a complex number

Understanding the IMCONJUGATE Formula

The IMCONJUGATE function in Excel returns the complex conjugate of a complex number. It's a mathematical tool for complex number operations—like changing the sign of the imaginary part while keeping the real part intact.

IMCONJUGATE("3+4i") returns "3-4i", flipping the sign of the imaginary component. It takes a complex number argument in the form of text ("x+yi" or "x+yj"), performing a conjugate operation—useful for advanced engineering, electrical circuits, or physics calculations.

Why Use IMCONJUGATE?

IMCONJUGATE enables complex number manipulation—think signal processing or electromagnetic field calculations. Its ability to produce conjugates is essential for many complex number equations, including finding magnitudes, dividing complex numbers, or solving complex equations.

Example with Sample Data

Complex Number	Formula	Result
"3+4i"	=IMCONJUGATE("3+4i")	3-4i
"5-2i"	=IMCONJUGATE("5-2i")	5+2i
"2i"	=IMCONJUGATE("2i")	-2i

IMCONJUGATE flips imaginary signs: "3+4i" becomes "3-4i", "5-2i" becomes "5+2i". It's useful for calculating complex number magnitudes via multiplication with the original number. It's a complex conjugate generator.