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# Can someone solve this for x for me?

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Director
Joined: 01 May 2007
Posts: 794
Followers: 1

Kudos [?]: 127 [0], given: 0

Can someone solve this for x for me? [#permalink]  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
Joined: 21 Jul 2006
Posts: 1553
Followers: 8

Kudos [?]: 336 [0], given: 1

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
Joined: 01 May 2007
Posts: 794
Followers: 1

Kudos [?]: 127 [0], given: 0

Thanks much. I just couldn't see it! What would you say the level of diff of this is?
SVP
Joined: 21 Jul 2006
Posts: 1553
Followers: 8

Kudos [?]: 336 [0], given: 1

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.
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