Question

How do you simplify `sqrt (27x^2) /sqrt3`?

Answer 1

`(sqrt(27x^2))/(sqrt3)=3x`

Explanation:

`(sqrt(27x^2))/(sqrt3)=?`

`(sqrt(27x^2))/(sqrt3)=(sqrt(3*3^2x^2))/(sqrt3)`

`(sqrt(27x^2))/(sqrt3)=(3x cancel(sqrt3))/(cancel (sqrt3))`

`(sqrt(27x^2))/(sqrt3)=3x`