Question

How do you rationalize the denominator and simplify `(6 sqrt 5)/(5 sqrt 3)`?

Answer 1

To get rid of radicals under the division bar, multiply both top and bottom by the same root `sqrt3`:

`(6sqrt5)/(5sqrt3) *sqrt3/sqrt3=(6sqrt5*sqrt3)/(5sqrt3^2)=(6sqrt15)/(5*3)=2/5 sqrt15`