SOLUTION: I was working this problem out and I think i got the right answer but there was some one else that help me with it but i think he got the negative and positive sings rong heres wha

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: I was working this problem out and I think i got the right answer but there was some one else that help me with it but i think he got the negative and positive sings rong heres wha      Log On

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Question 32999: I was working this problem out and I think i got the right answer but there was some one else that help me with it but i think he got the negative and positive sings rong heres what i did:
Problem (Sqrt 3 - Sqrt 5)(Sqrt 3 - Sqrt 5)
You are supose to work it out in a: (a - b)^2= a^2 - 2ab + b^2 form so this is what i got:
(Sqrt 3 - Sqrt 5)^2 = Sqrt 3^2 - (2)*(Sqrt 3)*(Sqrt 5) + Sqrt 5^2
Sqrt 9 - 2(Sqrt15) + Sqrt 25=
3 - 2 Sqrt 15 + 5 =
8 - 2 Sqrt 15
Is this right?

Found 2 solutions by xcentaur, askmemath:
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
( sqrt(3) - sqrt(5) )( sqrt(3) - sqrt(5) )
( sqrt(3) - sqrt(5) )^2
(a - b)^2= a^2 - 2ab + b^2
sqrt(3)^2 -2( sqrt(3) sqrt(5) ) + sqrt(5)^2
3 - 2 sqrt(15) + 5
8 - 2 sqrt(15)

Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
A little editing to make it look a little neat
Perfectly Neat!!
%28sqrt%283%29+-+sqrt%285%29%29%5E2+=+%28sqrt%283%29%29%5E2+-+%282%29%2A%28sqrt%283%29%29%2A%28sqrt%285%29%29+%2B+%28sqrt%285%29%29%5E2
sqrt%289%29+-+2%28sqrt%2815%29%29+%2B+sqrt%2825%29=3+-+2sqrt%2815%29+%2B+5+=8+-+2sqrt%2815%29
Perfectly Correct!!