Question 66238
{{{(4-3*sqrt(3))/(2*sqrt(3)-4)}}}
Multiply the top and the bottom by the conjugate of the bottom {{{2*sqrt(3)+4}}}
{{{(4-3*sqrt(3))(2*sqrt(3)+4)/((2*sqrt(3)-4)(2*sqrt(3)+4))}}}
{{{(4*2*sqrt(3)+4*4-3*2*sqrt(3*3)-3*4*sqrt(3))/(2*2*sqrt(3*3)+2*4*sqrt(3)-4*2*sqrt(3)-4*4)}}}
{{{(8*sqrt(3)+16-6*sqrt(9)-12*sqrt(3))/(4*sqrt(9)+8sqrt(3)-8sqrt(3)-16)}}}
{{{(16+(8-12)sqrt(3)-6(3))/(4*3-16)}}}
{{{(16-4sqrt(3)-18)/(12-16)}}}
{{{(-2-4sqrt(3))/(-4)}}}
{{{-2/-4-4sqrt(3)/-4}}}
{{{1/2+sqrt(3)}}}
Happy Calculating!!!