IMSQRT function

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:

  

  where:

  

  and:

  

  and:

  

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