# Difference between revisions of "Manuals/calci/IMSQRT"

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IMSQRT (ComplexNumber)

• is of the form .
• IMSQRT(),returns the difference between two complex numbers

## Description

• This function gives square root of a complex number.
• IMSQRT(ComplexNumber), where complex number is in the form of "x+iy".
• where x&y are the real numbers. imaginary unit ..
• Consider the complex number z.
• The square root of a complex number is defined by:

• where is the modulus of .
• And is the argument of . also .
• We can use COMPLEX function to convert real and imaginary number in to a complex number.

## ZOS

• The syntax is to calculate square root of a complex number in ZOS is .
• is of the form
• For e.g.,IMSQRT("9+10i")
• IMSQRT(IMSUB("9+10i","-2-3i"))
Imaginary Square Root

## Examples

1. =IMSQRT("2+3i")=1.67414922803554+0.895977476129838i
2. =IMSQRT("-4-5i")=1.09615788950152-2.2806933416653i
3. =IMSQRT("7")=2.6457513110645907+ⅈ0
4. =IMSQRT("8i")=2+2i

IMSQRT