Question 74715
{{{2/(sqrt(6)-sqrt(5))}}}  First, multiply both numerator and denominator by {{{(sqrt(6)+sqrt(5))}}}  we can do this because {{{(sqrt(6)+sqrt(5))/(sqrt(6)+sqrt(5))}}} equals 1 and we want to do this to get rid of the radicals in the denominator.

{{{((2)(sqrt(6)+sqrt(5)))/((sqrt(6)-sqrt(5))(sqrt(6)+sqrt(5)))}}}  and this equals


{{{((2)(sqrt(6)+sqrt(5)))/(6-5)}}} and this reduces to:

{{{2(sqrt(6)+sqrt(5))}}} --------------------ans


Hope this helps----ptaylor