Factor $45=3^{2}\times 5$. Rewrite the square root of the product $\sqrt{3^{2}\times 5}$ as the product of square roots $\sqrt{3^{2}}\sqrt{5}$. Take the square root of $3^{2}$.
$$2\times 3\sqrt{5}-0\times 2\sqrt{8}+3\sqrt{5}$$
Multiply $2$ and $3$ to get $6$.
$$6\sqrt{5}-0\times 2\sqrt{8}+3\sqrt{5}$$
Multiply $0$ and $2$ to get $0$.
$$6\sqrt{5}-0\sqrt{8}+3\sqrt{5}$$
Factor $8=2^{2}\times 2$. Rewrite the square root of the product $\sqrt{2^{2}\times 2}$ as the product of square roots $\sqrt{2^{2}}\sqrt{2}$. Take the square root of $2^{2}$.
$$6\sqrt{5}-0\times 2\sqrt{2}+3\sqrt{5}$$
Multiply $0$ and $2$ to get $0$.
$$6\sqrt{5}-0\sqrt{2}+3\sqrt{5}$$
Anything times zero gives zero.
$$6\sqrt{5}-0+3\sqrt{5}$$
Multiply $-1$ and $0$ to get $0$.
$$6\sqrt{5}+0+3\sqrt{5}$$
Anything plus zero gives itself.
$$6\sqrt{5}+3\sqrt{5}$$
Combine $6\sqrt{5}$ and $3\sqrt{5}$ to get $9\sqrt{5}$.
