Question

How do you divide `(3sqrt(2x^6y))/(5 sqrt(8x^5 y^6))`?

Answer 1

`(3sqrt(2x^6y))/(5sqrt(8x^5y^6))`

`= 3/5 * sqrt((2x^6y)/(8x^5y^6))`

`= 3/5 * sqrt(1/4 * xy^(-5))`

`= 3/5 * sqrt((1/2)^2 * xy^(-5))`

`=3/5*1/2*sqrt(xy^(-5))`

`=3/10sqrt(xy^(-5))`