Manuals/calci/IMSQRT

IMSQRT(Complexnumber)

Description

Failed to parse (syntax error): {\displaystyle \sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^{i\theta}}=\sqrt{{r}(cos(\frac{θ}{2})+isin(\frac{θ}{2})}}

where $r$ is the modulus of $z$ . $r={\sqrt {x^{2}+y^{2}}}$
And $\theta$ is the argument of $z$ . Failed to parse (syntax error): {\displaystyle θ=tan^{-1}(y/x)} also Failed to parse (syntax error): {\displaystyle θ∈(-\pi,\pi]} .
We can use COMPLEX function to convert real and imaginary number in to a complex number.

The syntax is to calculate square root of a complex number in ZOS is .
- $complexnumber$ is of the form $z=x+iy$
For e.g.,IMSQRT("9+10i")
IMSQRT(IMSUB("9+10i","-2-3i"))

Imaginary Square Root