  Geometric algebras of dimension $n < 6$ are becoming increasingly popular for
the modeling of 3D and 3+1D geometry. With this increased popularity comes the
need for efficient algorithms for common operations such as normalization,
square roots, and exponential and logarithmic maps. The current work presents a
signature agnostic analysis of these common operations in all geometric
algebras of dimension $n < 6$, and gives efficient numerical implementations in
the most popular algebras $\mathbb{R}_{4}$, $\mathbb{R}_{3,1}$,
$\mathbb{R}_{3,0,1}$ and $\mathbb{R}_{4,1}$, in the hopes of lowering the
threshold for adoption of geometric algebra solutions by code maintainers.
