Question

How do you simplify `sqrt(3/27y^6)`?

Answer 1

`sqrt((3*y^6)/27)`

`= sqrt((3*(y^3)^2)/(3^3))`

`= sqrt(((y^3)^2)/(3^2))`

In general `color(blue)(sqrt(a/b) = sqrta/sqrtb`

`= sqrt((y^3)^2)/sqrt(3^2)`

`color(green)( = y^3/3`