Express $\frac{\frac{\sqrt{180}}{\sqrt{3}}}{\sqrt{5}}$ as a single fraction.
$$\frac{\sqrt{180}}{\sqrt{3}\sqrt{5}}$$
Factor $180=6^{2}\times 5$. Rewrite the square root of the product $\sqrt{6^{2}\times 5}$ as the product of square roots $\sqrt{6^{2}}\sqrt{5}$. Take the square root of $6^{2}$.
$$\frac{6\sqrt{5}}{\sqrt{3}\sqrt{5}}$$
To multiply $\sqrt{3}$ and $\sqrt{5}$, multiply the numbers under the square root.
$$\frac{6\sqrt{5}}{\sqrt{15}}$$
Rationalize the denominator of $\frac{6\sqrt{5}}{\sqrt{15}}$ by multiplying numerator and denominator by $\sqrt{15}$.
