Rationalize the denominator:

$\dfrac{1}{(2\sqrt{5} - \sqrt{3})}$.

Rationalizing the denominator,

$\Rightarrow \dfrac{1}{(2\sqrt{5} - \sqrt{3})} \times \dfrac{(2\sqrt{5} + \sqrt{3})} {(2\sqrt{5} + \sqrt{3})} \\[1em] \Rightarrow \dfrac{(2\sqrt{5} + \sqrt{3})} {(2\sqrt{5})^2 - (\sqrt{3})^2} \\[1em] \Rightarrow \dfrac{(2\sqrt{5} + \sqrt{3})} {20 - 3} \\[1em] \Rightarrow \dfrac{(2\sqrt{5} + \sqrt{3})} {17} \\[1em]$

Hence, on rationalizing $\dfrac{1}{(2\sqrt{5} - \sqrt{3})} = \dfrac{(2\sqrt{5} + \sqrt{3})}{17}$.