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 $4^{2}$.
$$24\times 4\sqrt{2}\sqrt{7}$$
Multiply $24$ and $4$ to get $96$.
$$96\sqrt{2}\sqrt{7}$$
To multiply $\sqrt{2}$ and $\sqrt{7}$, multiply the numbers under the square root.
