Question 661935
If what you're looking for is this:
{{{5*sqrt(3)*(6*sqrt(12)-4*sqrt(6))}}} then here's how I'd do it:
First, apply the distributive property:
{{{5*sqrt(3)*6*sqrt(12) - 5*sqrt(3)*4*sqrt(6)}}}
{{{30*sqrt(3)*sqrt(12) - 20*sqrt(3)*sqrt(6)}}}
{{{30*sqrt(3*12) - 20*sqrt(3*6)}}}
{{{30*sqrt(36) - 20*sqrt(18)}}}
{{{30*6 - 20*sqrt(9*2)}}}
{{{180 - 20*sqrt(9)*sqrt(2)}}}
{{{180 - 20*3*sqrt(2)}}}
{{{180 - 60*sqrt(2)}}}
And, optionally:
{{{60*(3-sqrt(2))}}}