Question

How do you simplify `(3sqrt R )/ (3 sqrtx)`?

Answer 1

`(3sqrt(R))/(3sqrt(x)) = sqrt(R/x)`

Explanation:

`(color(red)(3sqrt(R)))/(color(blue)(3sqrt(x)))`

`= color(red)(3 * sqrt(R)) * color(blue)(1/3 * 1/sqrt(x))`

`= cancel(color(red)(3))*1/cancel(color(blue)(3))*color(red)(sqrt(R))/color(blue)(sqrt(x))`

`= sqrt(color(red)(R)/color(blue)(x)`