Question

How do you divide and simplify the square root of `(sqrt(96x^3))/(sqrt(25y^6))`?

Answer 1

You allways try to take the squares out of the root:

`sqrt(96x^3)/sqrt(25y^6)=sqrt(6*4^2*x*x^2)/sqrt(5^2*(y^3)^2)`

`=(4*x*sqrt(6*x))/(5*y^3)=4/5* (xsqrt(6x))/(y^3)`