Answer
$ 8\sqrt 6a / 3a$
Work Step by Step
We can simplify the expression as follows:
= $ 16a / \sqrt 6a^{3}$
= $ 16a / (\sqrt 6*\sqrt a^{2}*\sqrt a)$
= $ 16a / (\sqrt 6*a*\sqrt a)$
= $ 16 / (\sqrt 6*\sqrt a)$
= $ 16*(\sqrt 6*\sqrt a) / (\sqrt 6*\sqrt a)*(\sqrt 6*\sqrt a)$
(Multiply and divide by $(\sqrt 6*\sqrt a)$ to rationalize the denominator).
= $ 16*(\sqrt 6a) / 6a$
= $ 8\sqrt (6a) / 3a$.
