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Can someone solve this for x for me?

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Director
Director
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Can someone solve this for x for me? [#permalink] New post 02 Dec 2007, 10:10
Need some quick help. Brain fart...

Can anyone solve this for x for me?

x = 16(1+sqrt(2))/(2+sqrt(2))
SVP
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 [#permalink] New post 02 Dec 2007, 10:26
x = 16(1+sqrt(2))/(2+sqrt(2))

factor out the denominator to establish a common factor with the numerator:

= 16 (1 + sqrt(2) ) / sqrt(2) ( sqrt(2) + 1)

the 2 bolded factors can cancel each other out, leaving the following:

16 / sqrt(2)

since we can not leave the sqrt sign in the denominator, multiply both the numerator and the denominator by sqrt(2):

(16/sqrt(2) ) (sqrt(2)/sqrt(2))

= 8* sqrt(2)

hope this helps!
Director
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Joined: 01 May 2007
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Kudos [?]: 79 [0], given: 0

 [#permalink] New post 02 Dec 2007, 10:33
Thanks much. I just couldn't see it! What would you say the level of diff of this is?
SVP
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 [#permalink] New post 02 Dec 2007, 10:46
i don't know the exact level it belongs in, but I would guess that it's an easy question. it didn't take me more than 30 seconds to solve this.
  [#permalink] 02 Dec 2007, 10:46
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