Factor $44=2^{2}\times 11$. Rewrite the square root of the product $\sqrt{2^{2}\times 11}$ as the product of square roots $\sqrt{2^{2}}\sqrt{11}$. Take the square root of $2^{2}$.
$$2\sqrt{11}\sqrt{99}$$
Factor $99=3^{2}\times 11$. Rewrite the square root of the product $\sqrt{3^{2}\times 11}$ as the product of square roots $\sqrt{3^{2}}\sqrt{11}$. Take the square root of $3^{2}$.