# Manuals/calci/IMSQRT

**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"))

## Examples

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

## Related Videos

## See Also

## References