We want to simplify:
[tex]3\sqrt{45}\text{ - 4}\sqrt{225}+\sqrt{200}-\text{ }\sqrt{50}[/tex][tex]3\sqrt{3\cdot\text{ 3 }\cdot\text{ 5}}-4\sqrt{3\cdot\text{ 3 }\cdot\text{ 5 }\cdot\text{ 5}}+\sqrt{2\cdot\text{ 2 }\cdot\text{ 2 }\cdot\text{ 5 }\cdot\text{ 5}}-\sqrt{2\cdot\text{ 5 }\cdot\text{ 5}}[/tex][tex]9\sqrt{5}\text{ - (4 }\cdot\text{ 3 }\cdot\text{ 5) + (2 }\cdot\text{ 5)}\sqrt{2}\text{ - 5}\sqrt{2}[/tex][tex]9\sqrt{5}\text{ - 60 + 10}\sqrt{2}\text{ - 5}\sqrt{2}[/tex][tex]9\sqrt{5}\text{ + 5}\sqrt{2}\text{ - 60}[/tex]That is the answer.
