Question 309949
{{{(3*sqrt(3) - sqrt(2))( sqrt(2) + sqrt(3))}}} Start with the given expression.



{{{3*sqrt(3)*sqrt(2) + 3*sqrt(3)*sqrt(3)- sqrt(2)*sqrt(2)- sqrt(2)*sqrt(3)}}} FOIL



{{{3*sqrt(3*2) + 3*sqrt(3*3)- sqrt(2*2)- sqrt(2*3)}}} Combine the roots.



{{{3*sqrt(6) + 3*sqrt(9)- sqrt(4)- sqrt(6)}}} Multiply



{{{3*sqrt(6) + 3*3- 2- sqrt(6)}}} Take the square root of 9 and 4 to get 3 and 2 respectively.



{{{3*sqrt(6) + 9- 2- sqrt(6)}}} Multiply



{{{7+2*sqrt(6)}}} Combine like terms.



So {{{(3*sqrt(3) - sqrt(2))( sqrt(2) + sqrt(3))=7+2*sqrt(6)}}}