Multiply $3600$ and $\frac{1}{2}$ to get $\frac{3600}{2}$.
$$\sqrt{\frac{3600}{2}}$$
Divide $3600$ by $2$ to get $1800$.
$$\sqrt{1800}$$
Factor $1800=30^{2}\times 2$. Rewrite the square root of the product $\sqrt{30^{2}\times 2}$ as the product of square roots $\sqrt{30^{2}}\sqrt{2}$. Take the square root of $30^{2}$.