Question 30814
{{{ (sqrt(6) + sqrt(8))(sqrt(24) + sqrt(12)) }}} Foil it out
F : sqrt6 * sqrt24 = sqrt6*24
O : sqrt6 * sqrt12 = sqrt6*12
I : sqrt8 * sqrt24 = sqrt8*24
L : sqrt8 * sqrt12 = sqrt8*12
{{{ sqrt(6*24) + sqrt(6*12) + sqrt(8*24) + sqrt(8*12) }}} Factor it out
{{{ sqrt(2*3*2*2*2*3) + sqrt(2*3*2*2*3) + sqrt(2*2*2*2*2*2*3) + sqrt(2*2*2*2*2*3) }}} pull numbers out in pairs
{{{ 12 + 6(sqrt(2)) + 8(sqrt(3)) + 4(sqrt(6)) }}}