Manuals/calci/IMSQRT

IMSQRT(z)

• $z$ is the complex number is of the form $x+iy$

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. $r={\sqrt {x^{2}+y^{2}}}$
• 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.

Examples

=IMSQRT("2+3i")=1.67414922803554+0.895977476129838i =IMSQRT("-4-5i")=1.09615788950152-2.2806933416653i =IMSQRT("7")=2.64575131106459 =IMSQRT("8i")=2+2i

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Description

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

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 IMSQRT

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The square root of a complex number is:

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IMSQRT(IN)

where IN   is the complex number

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	Column1	Column2	Column3	Column4
Row1	1.455346690225355+0.34356074972251243i
Row2
Row3
Row4
Row5
Row6

File:Calci1.gif

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Let's see an example

I.e =IMSQRT(“2+i”) is 1.4553+0.34356i

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http://store.zcubes.com/33975CA25A304262905E768B19753F5D/Uploaded/equation%202sqrt.jpg

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