Factor $20=2^{2}\times 5$. Rewrite the square root of the product $\sqrt{2^{2}\times 5}$ as the product of square roots $\sqrt{2^{2}}\sqrt{5}$. Take the square root of $2^{2}$.
$$4\times 2\sqrt{5}+20\sqrt{20}+10\sqrt{20}$$
Multiply $4$ and $2$ to get $8$.
$$8\sqrt{5}+20\sqrt{20}+10\sqrt{20}$$
Factor $20=2^{2}\times 5$. Rewrite the square root of the product $\sqrt{2^{2}\times 5}$ as the product of square roots $\sqrt{2^{2}}\sqrt{5}$. Take the square root of $2^{2}$.
$$8\sqrt{5}+20\times 2\sqrt{5}+10\sqrt{20}$$
Multiply $20$ and $2$ to get $40$.
$$8\sqrt{5}+40\sqrt{5}+10\sqrt{20}$$
Combine $8\sqrt{5}$ and $40\sqrt{5}$ to get $48\sqrt{5}$.
$$48\sqrt{5}+10\sqrt{20}$$
Factor $20=2^{2}\times 5$. Rewrite the square root of the product $\sqrt{2^{2}\times 5}$ as the product of square roots $\sqrt{2^{2}}\sqrt{5}$. Take the square root of $2^{2}$.
$$48\sqrt{5}+10\times 2\sqrt{5}$$
Multiply $10$ and $2$ to get $20$.
$$48\sqrt{5}+20\sqrt{5}$$
Combine $48\sqrt{5}$ and $20\sqrt{5}$ to get $68\sqrt{5}$.
