Rewrite the square root of the division $\sqrt{\frac{20}{9}}$ as the division of square roots $\frac{\sqrt{20}}{\sqrt{9}}$.
$$\frac{\sqrt{20}}{\sqrt{9}}$$
Factor $20=2^{2}\times 5$. Rewrite the square root of the product $\sqrt{2^{2}\times 5}$ as the product of square roots $\sqrt{2^{2}}\sqrt{5}$. Take the square root of $2^{2}$.
