Question 480561
you had the right idea.
if you multiply the numerator and denominator by (1-sqrt(3))/(1-sqrt(3)), the fraction remains the same and the denominator loses the square root sign.
your expression becomes:
{{{(4/(1+sqrt(3)) * (1-sqrt(3))/(1-sqrt(3)))}}}
when you multiply {{{(1+sqrt(3))*(1-sqrt(3))}}}, the result is -2.
your expression becomes:
{{{(4*(1-sqrt(3)))/2}}}
this can be simplified to:
{{{2*(1-sqrt(3))}}} which can be further simplified to:
{{{2 - 2*sqrt(3)}}}
you don't have to go any further than that.