Question

3√45 - 4 √225 + √200 - √50

Answer 1

We want to simplify:

`3√(45)\text{ - 4}√(225)+√(200)-\text{ }√(50)`
`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}}`
`9√(5)\text{ - (4 }\cdot\text{ 3 }\cdot\text{ 5) + (2 }\cdot\text{ 5)}√(2)\text{ - 5}√(2)`
`9√(5)\text{ - 60 + 10}√(2)\text{ - 5}√(2)`
`9√(5)\text{ + 5}√(2)\text{ - 60}`

That is the answer.