Question 38016
Rationalise the denominator:
{{{(3+sqrt(3))/(1-sqrt(3))}}} Your first step, multiplying top and bottom by {{{1+sqrt(3))}}} was the right move!
{{{(3+sqrt(3))(1+sqrt(3))/(1-sqrt(3))(1+sqrt(3))}}}
{{{(3+4sqrt(3)+3)/(1-3)}}} Simplify.
{{{(6+4sqrt(3))/-2 = 2(3+2sqrt(3))/-2}}} Cancel the 2's
{{{-(3+2sqrt(3))}}} which is the same as{{{-2sqrt(3)-3}}}