Hi,

(3sqrt2 +2)(2sqrt10 +3) = 12sqrt(5) + 9sqrt(2) + 4sqrt(10) + 6

F	First terms  6*sqrt(20) =  6*sqrt(4*5)= 12sqrt(5)

O	Outside terms   9sqrt(2)

I	Inside terms    4sqrt(10)= 4sqrt(2)(sqrt(5)

L	Last terms  6 

 12sqrt(5) + 9sqrt(2) +4sqrt(2)(sqrt(5) + 6

 4sqrt(5)[3 + sqrt(2)] + 3[2+3sqrt(2)] 

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