Question 506692
Assume the problem is:
{{{(sqrt(8)+sqrt(24))/sqrt(6)}}}
multiply to get the radical out of the denominator 
{{{(sqrt(8)+sqrt(24))/sqrt(6)}}} * {{{sqrt(6)/sqrt(6)}}}
resulting in
{{{(sqrt(8*6)+sqrt(24*6))/6}}}
{{{(sqrt(48)+sqrt(144))/6}}}
Factor inside the radicals to reveal a perfect squares
{{{(sqrt(16*3)+sqrt(144))/6}}}
extract the square roots
{{{(4*sqrt(3)+12)/6}}}
we can write this over two identical denominators
{{{(4*sqrt(3))/6}}} + {{{12/6}}}
reduce the fractions
{{{(2*sqrt(3))/3}}} + 2