Question 85456
Multiply the top and bottom by he conjugate of {{{(sqrt(3) - sqrt(2))}}} , which is {{{(sqrt(3) + sqrt(2))}}}:

{{{(sqrt(5) - sqrt(2))/(sqrt(3) - sqrt(2))}}} * {{{(sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))}}} =

{{{(sqrt(5) - sqrt(2))(sqrt(3) + sqrt(2))/(3 - 2)}}} =
{{{(sqrt(15) + sqrt(10) - sqrt(6) - 2)}}}