The IMREAL function is used to extract the real coefficient of a complex number.
Contents:
Syntax
= IMREAL(complex_number)
complex_number - This is the complex number for which you want to find the absolute value. It can be supplied as a string (like "3+4i") or as a reference to a cell containing the complex number.
Explanation
The IMREAL function is part of the "Engineering" group of functions within Excel.
This function is used to extract the real part of a complex number.
A complex number is usually in the form 'a + bi' or sometimes 'a + bj', where a is the real part or coefficient, b is the imaginary part, and i or j is the imaginary number or unit.
So, in the complex number '9+3i', the real coefficient would be 9.
Examples
How to Extract the Real Coefficient of a Complex Number
Let's say we have table with complex numbers, and need to pull out the imaginary components of each number.
Without the IMREAL function, we would have to use a complicated formula to extract the real part of each cell. But, with the IMREAL function, we can simply type:
= IMREAL(A2)
To extract the real coefficient from a complex number held in cell A2.
So if we put that formula alongside our table and reference the complex numbers, we get something that looks like this:
Here, with the IMREAL formula in the second column, we can see that the real parts of each complex number are returned correctly.