With sympy, I am aware you can you do something like this:
In [37]: sqrt(8) / sqrt(27) Out[37]: 2*sqrt(6)/9 In [38]: pprint(sqrt(8) / sqrt(27)) 2⋅√6 ──── 9 There is a complex number I would like to represent in the same "symbolic" manner:
In [39]: z = complex(1,2) The length:
In [42]: Abs(z) Out[42]: 1.73205080756888 Now I would like to represent that number as :
In [46]: pprint(sqrt(3)) √3 Don't use the complex type as that can only represent complex numbers using floating point. Instead use SymPy's I:
In [1]: from sympy import I In [2]: z = 1 + 2*I In [3]: z Out[3]: 1 + 2⋅ⅈ In [4]: abs(z) Out[4]: √5 Also worth noting that sometimes SymPy can convert a float back into a guessed symbolic form:
In [5]: e = abs(complex(1, 2)) In [6]: e Out[6]: 2.23606797749979 In [7]: from sympy import nsimplify In [8]: nsimplify(e) Out[8]: √5 
z = complex(1,2); Abs(z) = sqrt(3) Whilst this method using the ImaginaryUnit is returning sqrt(5)