Ayudaaa porfaaa√(2)-(5√(20) -3√(18) +√(125) )

Question

Ayudaaa porfaaa
`√(2)-(5√(20) -3√(18) +√(125) )`

Answer 1

10√2 -15√5

Explanation:

Radicals are simplified by factoring out squares. Like radicals can be combined.

`√(2)-(5√(20)-3√(18)+√(125))\\\\=√(2)-(5√(4\cdot5)-3√(9\cdot2)+√(25\cdot5))\\\\=√(2)-10√(5)+9√(2)-5√(5)\\\\=\boxed{10√(2)-15√(5)}`