How to use IMABS function in Excel?

The `IMABS` function in Excel is used to calculate the absolute value (or modulus) of a complex number. The absolute value of a complex number is the distance of the point represented by the complex number from the origin in the complex plane.

Syntax

IMABS(inumber)
  • inumber: This argument is required. It is the complex number for which you want the absolute value. This can be given as a text in the form “a+bi” or as a result of the `COMPLEX` function.

Usage

     =IMABS("3+4i")
     =IMABS(A1)
     =IMABS(COMPLEX(3, 4))
  • Using Direct Input:
    • If you have the complex number as a text string, for example, `3+4i`, you can directly input this into the function:
    • This will return `5`, because the absolute value of the complex number `3+4i` is calculated as the square root of (3² + 4²), which is 5.
  • Using a Cell Reference:
    • If the complex number is in a cell, say `A1`, you can use:
    • Ensure that the cell `A1` contains a valid complex number format like `3+4i`.
  • Using the COMPLEX Function:
    • You can use `COMPLEX` to create the complex number and then use `IMABS`:
    • The `COMPLEX` function takes two arguments – the real part and the imaginary part, respectively.

Notes

  • Make sure the complex number is in the format recognized by Excel (e.g., “a+bi” or “a-bi”).
  • The result of `IMABS` is always a positive number or zero, since it represents the magnitude.

By using the `IMABS` function correctly, you can efficiently handle operations that involve complex numbers in Excel, particularly in scientific, engineering, or mathematical computations.

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