To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5. So we have (sqrt6/sqrt5)•(sqrt5/sqrt5). To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5). This can be rewritten as: sqrt(6•5)/sqrt(5•5) = sqrt30/sqrt25 Now, sqrt25 = 5, so that problem is solved as such: sqrt30/5 I'm thinking sqrt30 can't be simplified any further. If it can, do so.
