Question

How do you simplify `sqrt((9x^3y)/(16x^2y^2))`?

Answer 1

`color(violet)(=> (3/4) sqrt(x/y)`

Explanation:

`sqrt((9x^3y)/(16x^2y^2))`

`=> sqrt((9 cancel(x^3)^ color(red)x cancel y) / (16 cancel(x^2) cancel(y^2)^color(red)y))`

`=> sqrt ((3^2 x)/(4^2y))`

`color(violet)(=> (3/4) sqrt(x/y)`