When I evaluate
Simplify[ - a - I Sqrt a - b - I Sqrt b ]
-I (-I + Sqrt) (a + b)
Personally, I find it annoying that it factors out an extra
I since it doesn't make the expression simpler (and I think in this case it is unambiguous that
(- 1 - I Sqrt) (a + b) is actually simpler...).
FullSimplify does the same. For 1 complex number, I could use
Expand but for expressions with variables this screws up the simplification.
Why does Mathematica do this and is there an easy way to get rid of these extra factors of