SOLUTION: Multiply. (√11+3√3)(√11-3√3)

Algebra ->  Radicals -> SOLUTION: Multiply. (√11+3√3)(√11-3√3)      Log On


   

Question 371465: Multiply. (√11+3√3)(√11-3√3)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2811%29%2B3sqrt%283%29%29%28sqrt%2811%29-3sqrt%283%29%29
The slow way to multiply this is with FOIL. The fast way is to recognize that these two factors fit the pattern %28a%2Bb%29%28a-b%29+=+a%5E2+-+b%5E2 with "a" being sqrt%2811%29 and "b" being 3sqrt%283%29. Using this pattern then we know that the product will be a%5E2-b%5E2:
%28sqrt%2811%29%29%5E2+-+%283sqrt%283%29%29%5E2
which simplifies as follows:
11 - 27
-16