SOLUTION: Multiply. (3 sqrt2+2)(2 sqrt10+3) Simplify your answer as much as possible. thanks for all your help!

Algebra ->  Radicals -> SOLUTION: Multiply. (3 sqrt2+2)(2 sqrt10+3) Simplify your answer as much as possible. thanks for all your help!      Log On


   

Question 481914:
Multiply.

(3 sqrt2+2)(2 sqrt10+3)
Simplify your answer as much as possible.
thanks for all your help!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

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)]