Question 225140
{{{(4*sqrt(3)-3*sqrt(2))*(5*sqrt(3)+3*sqrt(2))}}}
Distribute this out:
{{{(4*sqrt(3)*5*sqrt(3))+(4*sqrt(3)*3*sqrt(2))-(3*sqrt(2)*5*sqrt(3))-(3*sqrt(2)*3*sqrt(2))}}}
Then, start combining things:
{{{(4*3*5)+(4*3*sqrt(6))-(3*5*sqrt(6))-(3*3*2)}}}
{{{(60)+(12*sqrt(6))-(15*sqrt(6))-(18)}}}
We can combine our last two terms and our middle term:
{{{42-3*sqrt(6)}}}, which is as far as we can go.