IMSQRT function

Applies To
Excel for Microsoft 365 Excel for Microsoft 365 for Mac Excel 2024 Excel 2024 for Mac Excel 2021 Excel 2021 for Mac Excel 2019 Excel 2016

This article describes the formula syntax and usage of the IMSQRT function in Microsoft Excel.

Description

Returns the square root of a complex number in x + yi or x + yj text format.

Syntax

IMSQRT(inumber)

The IMSQRT function syntax has the following arguments:

  • Inumber Required. A complex number for which you want the square root.

Remarks

  • Use COMPLEX to convert real and imaginary coefficients into a complex number.
  • The square root of a complex number is:
    Equation
    where:
    Equation
    and:
    Equation
    and:
    Equation

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Formula Description Result
=IMSQRT("1+i") Square root of 1+i 1.09868411346781+0.455089860562227i