Question 984832
{{{ 2+4sqrt6/3sqrt2-3 }}}


Say this better as  2+4*sqrt(6)/(3*sqrt(2))-3
rendered as {{{2+4*sqrt(6)/(3*sqrt(2))-3}}}.


{{{2+(4*sqrt(2)sqrt(3))/(3*sqrt(2))-3}}}


{{{2+(4*cross(sqrt(2))sqrt(3))/(3*cross(sqrt(2)))-3}}}


{{{2-3+(4*sqrt(3))/(3)}}}


{{{-1+(4/3)sqrt(3)}}}, and not much more that can be done with the rational integer, {{{-1}}};  you could put it as this for final requested form of the result:


{{{highlight(-1*sqrt(1)+(4/3)sqrt(3))}}}