Answer
$\sqrt 2/t^{2}$
Work Step by Step
We can simplify the expression as follows
= $(2\sqrt 24)/(\sqrt 48t^{4})$
= $(\sqrt 2\sqrt 2\sqrt 24)/(\sqrt 24\sqrt 2\sqrt t^{4})$
= $\sqrt 2/\sqrt t^{4}$ (Cancelling $\sqrt 24\sqrt 2$ in the numerator and the denominator)
= $\sqrt 2/t^{2}$