SOLUTION: Please help. Multiply: (sqrt[3] + 2sqrt[5])(6sqrt[3] - sqrt[5])

Algebra ->  Radicals -> SOLUTION: Please help. Multiply: (sqrt[3] + 2sqrt[5])(6sqrt[3] - sqrt[5])      Log On


   

Question 74895: Please help.
Multiply:
(sqrt[3] + 2sqrt[5])(6sqrt[3] - sqrt[5])
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%283%29%2B2%2Asqrt%285%29%29%286%2Asqrt%283%29-sqrt%285%29%29
%28sqrt%283%29%2B2%2Asqrt%285%29%29%286%2Asqrt%283%29-sqrt%285%29%29foil the two parenthesis

6%2Asqrt%283%2A3%29-sqrt%283%29sqrt%285%29%2B12%2Asqrt%283%29sqrt%285%29-2%2Asqrt%285%2A5%29
6%2Asqrt%289%29-sqrt%283%29sqrt%285%29%2B12%2Asqrt%283%29sqrt%285%29-2%2Asqrt%2825%29
6%2A%283%29%2B11%2Asqrt%283%29sqrt%285%29-2%2A%285%29Add like terms. If we let x=sqrt%283%29sqrt%285%29 then it becomes -x%2B12x=11x
18%2B11%2Asqrt%283%29sqrt%285%29-10
8%2B11%2Asqrt%283%29sqrt%285%29There's the simplified answer.
Or it could be also written as
8%2B11%2Asqrt%2815%29