# Manuals/calci/IMSQRT

**IMSQRT(z)**

- is the complex number is of the form

## 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 ..
- 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)(cosfrac{θ,2}+isinfrac{θ/2})}**,where r is the modulus of z. and θ is the argument of z.**Failed to parse (syntax error): {\displaystyle θ=tan^-1frac{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.

Remarks

Examples

**'''''''**

**''''**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

Column1 | Column2 | Column3 | Column4 | |

Row1 | 1.455346690225355+0.34356074972251243i | |||

Row2 | ||||

Row3 | ||||

Row4 | ||||

Row5 | ||||

Row6 |

Let's see an example

I.e =IMSQRT(“2+i”) is 1.4553+0.34356i