Manuals/calci/IMSQRT

IMSQRT(z)

Description

This function gives square root of a complex number.
IMSQRT(z), Where z is the complex number is in the form of "x+iy".
where x&y are the real numbers.'i' imaginary unit . $i={\sqrt {-1}}$ .
The square root of a complex number is defined by Failed to parse (syntax error): {\displaystyle \sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^iθ}=\sqrt{r}(cos(θ/2)+isin(θ/2)}
where r is the modulus of z. $r={\sqrt {x^{2}+y^{2}}}$
And θ is the argument of z. Failed to parse (syntax error): {\displaystyle θ=tan^{-1}(y/x)} also θ∈(-Pi(),Pi()].
We can use COMPLEX function to convert real and imaginary number in to a complex number.