Factor $720=12^{2}\times 5$. Rewrite the square root of the product $\sqrt{12^{2}\times 5}$ as the product of square roots $\sqrt{12^{2}}\sqrt{5}$. Take the square root of $12^{2}$.
$$12\sqrt{5}+\sqrt{125}+\frac{2}{\sqrt{5}}$$
Factor $125=5^{2}\times 5$. Rewrite the square root of the product $\sqrt{5^{2}\times 5}$ as the product of square roots $\sqrt{5^{2}}\sqrt{5}$. Take the square root of $5^{2}$.
$$12\sqrt{5}+5\sqrt{5}+\frac{2}{\sqrt{5}}$$
Combine $12\sqrt{5}$ and $5\sqrt{5}$ to get $17\sqrt{5}$.
$$17\sqrt{5}+\frac{2}{\sqrt{5}}$$
Rationalize the denominator of $\frac{2}{\sqrt{5}}$ by multiplying numerator and denominator by $\sqrt{5}$.
