SOLUTION: (10+(square root 20))-(4-(square root 45)) I got 12+2(square root 20)-2(square root 45) Am I even close?

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: (10+(square root 20))-(4-(square root 45)) I got 12+2(square root 20)-2(square root 45) Am I even close?      Log On


   

Question 73293: (10+(square root 20))-(4-(square root 45))
I got 12+2(square root 20)-2(square root 45)
Am I even close?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2810%2Bsqrt%2820%29%29-%284-sqrt%2845%29%29Start with given problem
%2810%2Bsqrt%284%2A5%29%29-%284-sqrt%289%2A5%29%29Display radicand as product
%2810%2Bsqrt%284%29%2Asqrt%285%29%29-%284-sqrt%289%29%2Asqrt%285%29%29Break up square root
%2810%2B2%2Asqrt%285%29%29-%284-3%2Asqrt%285%29%29Take square root of perfect square
10%2B2%2Asqrt%285%29-4%2B3%2Asqrt%285%29%29Distribute negative
10-4%2B2%2Asqrt%285%29%2B3%2Asqrt%285%29%29Group like terms
6%2Bsqrt%285%29%282%2B3%29Group sqrt%285%29 terms together (note: sqrt%285%29 is like x. ie 3x+2x=x(3+2))
6%2B5%2Asqrt%285%29This is what you should get
Hope this makes sense.