SOLUTION: multiply (3/sqrt 5 - 9/sqrt 2)(2/sqrt 5 + 6/sqrt 2)

Algebra ->  Radicals -> SOLUTION: multiply (3/sqrt 5 - 9/sqrt 2)(2/sqrt 5 + 6/sqrt 2)      Log On


   

Question 351932: multiply (3/sqrt 5 - 9/sqrt 2)(2/sqrt 5 + 6/sqrt 2)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2Fsqrt%285%29+-+9%2Fsqrt%282%29%29%282%2Fsqrt%285%29+%2B+6%2Fsqrt%282%29%29
Just use FOIL (or whatever technique you have learned for multiplying binomials (two term expressions)):

Multiplying out these fractions we get:
6%2F5+%2B+18%2Fsqrt%2810%29+-+18%2Fsqrt%2810%29+-54%2F2
The square root terms cancel out and 54/2 = 27 leaving:
6%2F5+-27
Subtracting:
6%2F5+-+135%2F5
-129%2F5
As a mixed number this is
-25%264%2F5