Rewrite the square root of the division $\sqrt{\frac{27}{4}}$ as the division of square roots $\frac{\sqrt{27}}{\sqrt{4}}$.
$$\frac{\sqrt{27}}{\sqrt{4}}$$
Factor $27=3^{2}\times 3$. Rewrite the square root of the product $\sqrt{3^{2}\times 3}$ as the product of square roots $\sqrt{3^{2}}\sqrt{3}$. Take the square root of $3^{2}$.
