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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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.<math>r=\sqrt(x^2+y^2)} and θ is the argument of z.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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.

Remarks

Examples

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Description

This function calculates the square root of a complex number in a + bi or a + bj text format.

IMSQRT

The square root of a complex number is:

IMSQRT(IN)

where IN is the complex number

Let's see an example

I.e =IMSQRT(“2+i”) is 1.4553+0.34356i