In[3]:= c = (1 + Sqrt[3] I)/2 1 + I Sqrt[3] Out[3]= ------------- 2 In[4]:= cCubed = c^3 3 (1 + I Sqrt[3]) Out[4]= ---------------- 8 In[5]:= N[cCubed] -16 Out[5]= -1. + 2.77556 10 I In[6]:= Expand[cCubed] Out[6]= -1 In[7]:= (-1)^(1/3) 1/3 Out[7]= (-1) In[8]:= Solve[ x^3 == -1 ] 1 - I Sqrt[3] 1 + I Sqrt[3] Out[8]= {{x -> -1}, {x -> -------------}, {x -> -------------}} 2 2 In[9]:= {Re[c], Im[c], Abs[c], Arg[c]} 1 Sqrt[3] Pi Out[9]= {-, -------, 1, --} 2 2 3 In[10]:= Conjugate[c] 1 - I Sqrt[3] Out[10]= ------------- 2