IMSQRT (ComplexNumber)

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


  • 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.


  • 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"))
Imaginary Square Root


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

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See Also


Binary Logarithm