Question 374919
{{{2sqrt(6) + 5sqrt(5))(3sqrt(6) - sqrt(5))}}}
Just use FOIL:
{{{2sqrt(6)*3sqrt(6) + 2sqrt(6)*(-sqrt(5)) + 5sqrt(5)*3sqrt(6) + 5sqrt(5)*(-sqrt(5))}}}
Using the Commutative and Associative properties to rearrange and regroup the factors in each term (to make things clearer) we get:
{{{(2*3)*(sqrt(6)*sqrt(6)) + (-2)(sqrt(6)*sqrt(5)) + (5*3)*(sqrt(5)*sqrt(6)) + (-5)(sqrt(5)*sqrt(5))}}}
which simplifies as follows:
{{{(2*3)*(sqrt(6)*sqrt(6)) + (-2)(sqrt(6)*sqrt(5)) + (5*3)*(sqrt(5)*sqrt(6)) + (-5)(sqrt(5)*sqrt(5))}}}
{{{6*6 + (-2)sqrt(30) + 15sqrt(30) + (-5)(5)}}}
{{{36 + 13sqrt(30) + (-25)}}}
{{{11 + 13sqrt(30)}}}