Question 123399
Use the FOIL method (First Outer Inner Last)
First : {{{(5*sqrt(2))*(sqrt(2))}}}
Outer : {{{(5*sqrt(2))*(-2*sqrt(3))}}}
Inner : {{{(3)*(sqrt(2))}}}
Last : {{{(3)*(-2*sqrt(3))}}}
{{{(5sqrt(2)+3)(sqrt(2)-2sqrt(3))=(5*sqrt(2))*(sqrt(2))+
(5*sqrt(2))*(-2*sqrt(3))+
(3)*(sqrt(2))+
(3)*(-2*sqrt(3))}}}
{{{(5sqrt(2)+3)(sqrt(2)-2sqrt(3))=10-10*sqrt(6)+3*sqrt(2)-6*sqrt(3))}}}
{{{(5sqrt(2)+3)(sqrt(2)-2sqrt(3))=10-10*sqrt(2)*sqrt(3)+3*sqrt(2)-6*sqrt(3))}}}
{{{(5sqrt(2)+3)(sqrt(2)-2sqrt(3))=10-sqrt(3)*(10*sqrt(2)+6)+3*sqrt(2))}}}