## Precalculus: Mathematics for Calculus, 7th Edition

$\frac{5+\sqrt 3}{22}$
Multiply by the conjugate radical: $\frac{1}{5-\sqrt 3}\times\frac{5+\sqrt 3}{5+\sqrt 3}$ Simplify using Special Product Formula 1: $\frac{5+\sqrt 3}{(5)^2-(\sqrt 3)^2}=\frac{5+\sqrt 3}{22}$