Question 63638
{{{sqrt(3)/(3-sqrt(3))}}} 
Multiply top and bottom by the conjugate of {{{3-sqrt(3)}}} which is {{{3+sqrt(3)}}}
{{{(sqrt(3)*(3+sqrt(3)))/((3-sqrt(3))*(3+sqrt(3)))}}} 
{{{(3*sqrt(3)+3)/((3^2-sqrt(3)^2))}}} Difference of squares
{{{(3*sqrt(3)+3)/(9-3)}}}
{{{(3*sqrt(3)+3)/6)}}} Divide out common factor of 3
{{{(sqrt(3)+1)/2)}}}