Question

How do you simplify `sqrt 18 + sqrt(4y^3) - 2 sqrt(y^3) - sqrt(48y^2)`?

Answer 1

Extract all squares from radicals
`sqrt(18) +sqrt(4y^3)-2sqrt(y^3)-sqrt(48y^2)`

`= 3sqrt(2) +2ysqrt(y) -2ysqrt(y) - 4ysqrt(3)`

`= 3sqrt(2)-4ysqrt(3)`