Question

How do you simplify `(6sqrt3)/sqrt5`?

Answer 1

`(6sqrt3)/sqrt5 = 6sqrt(3/5)*sqrt(3/3)= 18/(sqrt15) = (18sqrt(15))/15 = (6sqrt(15))/5`

The main idea is to minimize the number of radicals in the expression and/or in the denominator. Can't go any further than this though.