Question 269121: I need to find the Distance between the points (  , ),(  , )
Using the Distance formula d= sqrt[(x2-x1)^2+(y2-y1)^2
I get sqrt[(sqrt12-sqrt3)^2 + (sqrt27-sqrt8)^2]
Which i simplified to:
Sqrt[2(2*sqrt3-sqrt2)
The answer in the back of my book says:
sqrt[38-12*sqrt6]
So what did I do wrong or miss? I can't figure it out.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need to find the Distance between the points
(sqrt(3),{sqrt(8)),(sqrt(12),sqrt(27) )
Using the Distance formula d= sqrt[(x2-x1)^2+(y2-y1)^2
I get sqrt[(sqrt12-sqrt(3))^2 + (sqrt(27)-sqrt(8))^2]
At this point you should get:
sqrt[12-sqrt(36)+3 + 27-sqrt(8*27)+8]
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= sqrt[15-6 +35-6sqrt(6)]
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= sqrt[44-6sqrt(6)]
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I don't agree with the answer listed in your book.
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Cheers,
Stan H.
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! I need to find the Distance between the points ( , ),( , )
Using the Distance formula d= sqrt[(x2-x1)^2+(y2-y1)^2
I get sqrt[(sqrt12-sqrt3)^2 + (sqrt27-sqrt8)^2]
d^2 = 
You didn't show your simplification.
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Which i simplified to:
Sqrt[2(2*sqrt3-sqrt2)
The answer in the back of my book says:
sqrt[38-12*sqrt6]
So what did I do wrong or miss? I can't figure it out.
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