Question 604239
{{{ (sqrt(2)*(2+sqrt(3)))/(sqrt(3)*(1+sqrt(3)))*(sqrt(2)*(2-sqrt(3)))/(sqrt(3)*(-1+3*sqrt(3))) }}}
{{{(sqrt(2)^2/sqrt(3)^2)*((2+sqrt(3))*(2-sqrt(3))/((sqrt(3) + 1)*sqrt(3)*(-1+3*sqrt(3)))) }}}
{{{(2/3)*( ( 4 - 3 ) / ((sqrt(3) + 1)*(-sqrt(3) + 9 ))) }}}
{{{(2/3)*( 1 / ((sqrt(3) + 1)*(-sqrt(3) + 9 ))) }}}
{{{(2/3)*( 1 / ( -3 - sqrt(3) + 9*sqrt(3) + 9 )) }}}
{{{(2/3)*( 1 / ( 6 + 8*sqrt(3) )) }}}
{{{(1/3)*( 1 / ( 3 + 4*sqrt(3) )) }}}
Multiply top and bottom by {{{ 3 - 4*sqrt(3) }}}
{{{(1/3)*( ( 3 - 4*sqrt(3) ) / ( 9 - 48 )) }}}
{{{(1/3)*( ( 3 - 4*sqrt(3) ) / ( -39 )) }}}
{{{  ( 3 - 4*sqrt(3) ) / ( -117 ) }}}
{{{  ( -3 + 4*sqrt(3) ) / ( 117 ) }}}