Question 229000
{{{(3*sqrt(5) - 8*sqrt(3))*(8*sqrt(3) - 6*sqrt(5))}}}
Are you familiar with FOIL method? It basically says:
{{{(a + b)*(c + d) = ac + bc + ad + bd}}}
{{{3*8*sqrt(5)*sqrt(3) - 8*8*sqrt(3)*sqrt(3) - 3*6*sqrt(5)*sqrt(5) + 6*8*sqrt(3)*sqrt(5)}}}
What you needto know here is 
{{{sqrt(a)*sqrt(b) = sqrt(ab)}}}
{{{24*sqrt(15) - 64*sqrt(9) - 18*sqrt(25) + 48*sqrt(15)}}}
{{{24*sqrt(15) - 64*3 - 18*5 + 48*sqrt(15)}}}
{{{72*sqrt(15) - 192 - 90}}}
{{{72*sqrt(15) - 282}}}  answer