Question 97613
{{{ sqrt( 8 ) / (2sqrt( 5 )+ sqrt( 6 )) }}}

Multiply numerator and denominator by  {{{(2sqrt( 5 )- sqrt( 6 )) }}}

{{{(sqrt(8)*(2sqrt(5)-sqrt(6)))/((2sqrt(5)+ sqrt( 6 ))*(2sqrt( 5 )-sqrt(6))) }}}

{{{(2sqrt(40)-sqrt(48))/(( 4*5 - 6)) }}}

{{{(4sqrt(10)-4sqrt(3))/(14) }}}

{{{(4(sqrt(10)-sqrt(3)))/(14) }}}

{{{(2/7) * (sqrt(10)-sqrt(3))}}}