Question 347907
{{{ (5*sqrt(3) +3*sqrt(2))(5*sqrt(3) -3*sqrt(2)) }}}
This is the same as {{{(a + b)*(a - b) = a^2 - b^2}}},
{{{a = 5*sqrt(3)}}}
{{{b = 3*sqrt(2)}}}
{{{a^2 + b^2 = 25*3 - 9*2}}}
{{{a^2 + b^2 = 75 - 18}}}
{{{75 - 18 = 57}}}