Question 74895
{{{(sqrt(3)+2*sqrt(5))(6*sqrt(3)-sqrt(5))}}}
{{{(sqrt(3)+2*sqrt(5))(6*sqrt(3)-sqrt(5))}}}foil the two parenthesis
{{{sqrt(3)*(6*sqrt(3))+sqrt(3)*(-sqrt(5))+2*sqrt(5)*(6*sqrt(3))+2*sqrt(5)*(-sqrt(5))}}}
{{{6*sqrt(3*3)-sqrt(3)sqrt(5)+12*sqrt(3)sqrt(5)-2*sqrt(5*5)}}}
{{{6*sqrt(9)-sqrt(3)sqrt(5)+12*sqrt(3)sqrt(5)-2*sqrt(25)}}}
{{{6*(3)+11*sqrt(3)sqrt(5)-2*(5)}}}Add like terms. If we let {{{x=sqrt(3)sqrt(5)}}} then it becomes {{{-x+12x=11x}}}
{{{18+11*sqrt(3)sqrt(5)-10}}}
{{{8+11*sqrt(3)sqrt(5)}}}There's the simplified answer.
Or it could be also written as
{{{8+11*sqrt(15)}}}