Calculate $180$ to the power of $2$ and get $32400$.
$$\frac{180+\sqrt{32400+75}}{75}$$
Add $32400$ and $75$ to get $32475$.
$$\frac{180+\sqrt{32475}}{75}$$
Factor $32475=5^{2}\times 1299$. Rewrite the square root of the product $\sqrt{5^{2}\times 1299}$ as the product of square roots $\sqrt{5^{2}}\sqrt{1299}$. Take the square root of $5^{2}$.