Question 239251
{{{(9*sqrt(6) - 7*sqrt(5))*(sqrt(6) - 2*sqrt(5))}}}
{{{9*sqrt(6)*sqrt(6) - 7*sqrt(5)*sqrt(6) - 18*sqrt(6)*sqrt(5) + 14*sqrt(5)*sqrt(5)}}}
{{{9*6 - 7*sqrt(30) - 18*sqrt(30) + 14*5}}}
{{{9*6 + 14*5 - 25*sqrt(30)}}}
{{{54 + 70 - 25*sqrt(30)}}}
{{{124 - 25*sqrt(30)}}} answer
I can check this answer on my calculator
{{{(9*sqrt(6) - 7*sqrt(5))*(sqrt(6) - 2*sqrt(5)) =( 9*2.449 - 7*2.236)*(2.449 - 2*2.236)}}}
{{{( 9*2.449 - 7*2.236)*(2.449 - 2*2.236) = (22.041 - 15.652)*(-2.023)}}}
{{{6.389*(-2.023) = -12.925}}}
and
{{{124 - 25*sqrt(30) = 124 - 5.477*25}}}
{{{124 - 136.931 = -12.931}}}
I think I made a rounding-off error, but
answer must be OK