Factor $32=4^{2}\times 2$. Rewrite the square root of the product $\sqrt{4^{2}\times 2}$ as the product of square roots $\sqrt{4^{2}}\sqrt{2}$. Take the square root of $4^{2}$.
$$\frac{\sqrt{6}}{4\sqrt{2}}$$
Rationalize the denominator of $\frac{\sqrt{6}}{4\sqrt{2}}$ by multiplying numerator and denominator by $\sqrt{2}$.
