SOLUTION: Multiply (√5+3√8)(√5-3√8)

Algebra ->  Radicals -> SOLUTION: Multiply (√5+3√8)(√5-3√8)      Log On


   



Question 336119: Multiply
(√5+3√8)(√5-3√8)

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%285%29%2B3sqrt%288%29%29%28sqrt%285%29-3sqrt%288%29%29
You could use FOIL to multiply this. But the easy way is to recognize that
%28sqrt%285%29%2B3sqrt%288%29%29%28sqrt%285%29-3sqrt%288%29%29
fits the pattern of
%28a%2Bb%29%28a-b%29+=+a%5E2+-+b%5E2
with
a+=+sqrt%285%29 and b+=+3sqrt%288%29.
So