Question

How do you simplify `sqrt(54y^2)/ sqrt(6y)`?

Answer 1

`3.sqrt y`

Explanation:

`sqrt(54y^2)/sqrt(6y)`

`(sqrt(6).sqrt(9).sqrt(y^2))/(sqrt(6) sqrt(y))`

`(cancel(sqrt(6)).sqrt(9).sqrt(y^2))/(cancelsqrt(6) sqrt(y))`

`(.sqrt(9).sqrt(y^2))/( sqrt(y))`

`(3.y)/( sqrt(y))`

`3.sqrt y`