# Difference between revisions of "Manuals/calci/IMSQRT"

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− | <div style="font-size:30px">'''IMSQRT( | + | <div style="font-size:30px">'''IMSQRT (ComplexNumber)'''</div><br/> |

− | *<math> | + | *<math>ComplexNumber </math> is of the form <math>z=x+iy</math>. |

+ | **IMSQRT(),returns the difference between two complex numbers | ||

==Description== | ==Description== | ||

*This function gives square root of a complex number. | *This function gives square root of a complex number. | ||

− | *IMSQRT( | + | *IMSQRT(ComplexNumber), where complex number is in the form of "x+iy". |

*where x&y are the real numbers.<math>i</math> imaginary unit .<math>i=\sqrt{-1}</math>. | *where x&y are the real numbers.<math>i</math> imaginary unit .<math>i=\sqrt{-1}</math>. | ||

+ | *Consider the complex number z. | ||

*The square root of a complex number is defined by: | *The square root of a complex number is defined by: | ||

<math>\sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^{i\theta}}=\sqrt{{r}(cos(\frac{\theta}{2})+isin(\frac{\theta}{2})}</math> | <math>\sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^{i\theta}}=\sqrt{{r}(cos(\frac{\theta}{2})+isin(\frac{\theta}{2})}</math> | ||

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==ZOS== | ==ZOS== | ||

− | *The syntax is to calculate square root of a complex number in ZOS is <math>IMSQRT( | + | *The syntax is to calculate square root of a complex number in ZOS is <math>IMSQRT(ComplexNumber)</math>. |

− | **<math> | + | **<math>ComplexNumber</math> is of the form <math>z=x+iy</math> |

*For e.g.,IMSQRT("9+10i") | *For e.g.,IMSQRT("9+10i") | ||

*IMSQRT(IMSUB("9+10i","-2-3i")) | *IMSQRT(IMSUB("9+10i","-2-3i")) |

## Latest revision as of 16:05, 18 July 2018

**IMSQRT (ComplexNumber)**

- is of the form .
- IMSQRT(),returns the difference between two complex numbers

## Description

- This function gives square root of a complex number.
- IMSQRT(ComplexNumber), where complex number is in the form of "x+iy".
- where x&y are the real numbers. imaginary unit ..
- Consider the complex number z.
- The square root of a complex number is defined by:

- where is the modulus of .
- And is the argument of . also .
- We can use COMPLEX function to convert real and imaginary number in to a complex number.

## ZOS

- The syntax is to calculate square root of a complex number in ZOS is .
- is of the form

- For e.g.,IMSQRT("9+10i")
- IMSQRT(IMSUB("9+10i","-2-3i"))

## Examples

- =IMSQRT("2+3i")=1.67414922803554+0.895977476129838i
- =IMSQRT("-4-5i")=1.09615788950152-2.2806933416653i
- =IMSQRT("7")=2.6457513110645907+ⅈ0
- =IMSQRT("8i")=2+2i

## Related Videos

## See Also

## References