- Excel Functions - Home
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Excel - IMSQRT Function
Description
The IMSQRT function returns the square root of a complex number in x + yi or x + yj text format. The square root of a complex number is −
√x+yi=√rcos(θ2)+i√rsin(θ2)
Where −
r=√x2+y2andθ=tan−1(yx)andθϵ(−π;π]
Syntax
IMSQRT (inumber)
Arguments
| Argument | Description | Required/ Optional |
|---|---|---|
| Inumber | A complex number for which you want the square root. | Required |
Notes
Complex Numbers in Excel are simply stored as text.
When a text string in the format "a + bi" or "a + bj" is supplied to one of Excel's built-in Complex Number Functions, this is interpreted as a complex number.
The complex number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.
Use COMPLEX to convert real and imaginary coefficients into a complex number.
If inumber is not recognized as a complex number, IMSQRT returns the #NUM! error.
If inumber is a logical value, IMSQRT returns the #VALUE! error.
Applicability
Excel 2007, Excel 2010, Excel 2013, Excel 2016
Example
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