SOLUTION: How would I simplify this problem to get the product? (3sqrt3 - sqrt2)( sqrt2 + sqrt3)

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Question 309949: How would I simplify this problem to get the product?
(3sqrt3 - sqrt2)( sqrt2 + sqrt3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2Asqrt%283%29+-+sqrt%282%29%29%28+sqrt%282%29+%2B+sqrt%283%29%29 Start with the given expression.


FOIL


3%2Asqrt%283%2A2%29+%2B+3%2Asqrt%283%2A3%29-+sqrt%282%2A2%29-+sqrt%282%2A3%29 Combine the roots.


3%2Asqrt%286%29+%2B+3%2Asqrt%289%29-+sqrt%284%29-+sqrt%286%29 Multiply


3%2Asqrt%286%29+%2B+3%2A3-+2-+sqrt%286%29 Take the square root of 9 and 4 to get 3 and 2 respectively.


3%2Asqrt%286%29+%2B+9-+2-+sqrt%286%29 Multiply


7%2B2%2Asqrt%286%29 Combine like terms.


So %283%2Asqrt%283%29+-+sqrt%282%29%29%28+sqrt%282%29+%2B+sqrt%283%29%29=7%2B2%2Asqrt%286%29