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1/(2 - sqrt(3)) = ? (m25#36)

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CIO
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1/(2 - sqrt(3)) = ? (m25#36) [#permalink] New post 15 Feb 2012, 06:04
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Difficulty:

  5% (low)

Question Stats:

50% (01:08) correct 50% (00:00) wrong based on 6 sessions
\frac{1}{2 - \sqrt{3}} = ?

(A) \sqrt{3} - 2
(B) 2 + \sqrt{3}
(C) \sqrt{2} + \sqrt{3}
(D) 2 - \sqrt{3}
(E) \sqrt{3} + 4
[Reveal] Spoiler: OA

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Joined: 06 Oct 2011
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Schools: Wharton '15, CBS '15
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Re: 1/(2 - sqrt(3)) = ? (m25#36) [#permalink] New post 15 Feb 2012, 07:16
1/(2- Sqrt3)

in order to eliminate the sq root from the bottom you must multiply by (2+sqrt3) which;
1(2+sqrt3) = 2+sqrt3 = 2+sqrt3
__________
(2-sqrt3)(2+sqrt3) = 4-2sqrt3+2sqrt3 -3 = 1
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Re: 1/(2 - sqrt(3)) = ? (m25#36) [#permalink] New post 22 Feb 2012, 10:54
I solved it in a similar fashion. This was not bad at all...
Re: 1/(2 - sqrt(3)) = ? (m25#36)   [#permalink] 22 Feb 2012, 10:54
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Experts publish their posts in the topic sqrt3 + 1/3+sqrt3 - 1/3-sqrt3 Skag55 1 29 Nov 2013, 04:25
frac{1}{2 - \sqrt{3}} = ? * \sqrt{3} - 2 * 2 + \sqrt{3} * study 3 18 Oct 2008, 23:46
1/(2+ sqrt(3)) = sqrt(3) - 2 2 - sqrt(3) sqrt(2) + anonymousegmat 4 08 Jul 2007, 12:53
see attachment A 18 sqrt 3 B 21sqrt 3 C 24sqrt 3 D gk3.14 9 14 Dec 2006, 16:33
Experts publish their posts in the topic sqrt(5)+sqrt(3)) / (sqrt(5)-sqrt(3)) = chets 8 13 Sep 2005, 12:36
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