Sqrt of complex number

*To*: mathgroup at smc.vnet.net*Subject*: [mg126634] Sqrt of complex number*From*: Jacare Omoplata <walkeystalkey at gmail.com>*Date*: Sun, 27 May 2012 04:42:36 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi, When I try to find the square root of of a complex number, I get only one answer. In[1]:= Sqrt[3-4 I] Out[1]= 2-I But -2+I is an answer as well. In[2]:= (-2+I)^2 Out[2]= 3-4 I Why does Mathematica give the first answer and not the second? Does it choose the answer with the positive real number? Is there any way I can get both answers? Or do I just have to remember that the negative of the given answer is also an answer? Thanks.

**Follow-Ups**:**Re: Sqrt of complex number***From:*Murray Eisenberg <murray@math.umass.edu>

**Re: Sqrt of complex number***From:*"Dave Snead" <dsnead6@charter.net>

**Re: Sqrt of complex number***From:*Bob Hanlon <hanlonr357@gmail.com>