Add $100000000000000$ and $2000000000000$ to get $102000000000000$.
$$\sqrt{102000000000000+600000000+300000+90000}$$
Add $102000000000000$ and $600000000$ to get $102000600000000$.
$$\sqrt{102000600000000+300000+90000}$$
Add $102000600000000$ and $300000$ to get $102000600300000$.
$$\sqrt{102000600300000+90000}$$
Add $102000600300000$ and $90000$ to get $102000600390000$.
$$\sqrt{102000600390000}$$
Factor $102000600390000=100^{2}\times 10200060039$. Rewrite the square root of the product $\sqrt{100^{2}\times 10200060039}$ as the product of square roots $\sqrt{100^{2}}\sqrt{10200060039}$. Take the square root of $100^{2}$.