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# frac{1}{2 - \sqrt{3}} = ? * \sqrt{3} - 2 * 2 + \sqrt{3} *

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Senior Manager
Joined: 05 Oct 2008
Posts: 272
Followers: 3

Kudos [?]: 117 [0], given: 22

frac{1}{2 - \sqrt{3}} = ? * \sqrt{3} - 2 * 2 + \sqrt{3} * [#permalink]  18 Oct 2008, 23:46
$$\frac{1}{2 - \sqrt{3}} = ?$$

* $$\sqrt{3} - 2$$
* $$2 + \sqrt{3}$$
* $$\sqrt{2} + \sqrt{3}$$
* $$2 - \sqrt{3}$$
* $$\sqrt{3} + 4$$
VP
Joined: 17 Jun 2008
Posts: 1404
Followers: 7

Kudos [?]: 148 [0], given: 0

Re: Another exponents [#permalink]  18 Oct 2008, 23:51
study wrote:
$$\frac{1}{2 - \sqrt{3}} = ?$$

* $$\sqrt{3} - 2$$
* $$2 + \sqrt{3}$$
* $$\sqrt{2} + \sqrt{3}$$
* $$2 - \sqrt{3}$$
* $$\sqrt{3} + 4$$

IMO B
multiply numerator and dino by 2+sgrt3
_________________

cheers
Its Now Or Never

Senior Manager
Joined: 05 Oct 2008
Posts: 272
Followers: 3

Kudos [?]: 117 [0], given: 22

Re: Another exponents [#permalink]  02 Nov 2008, 02:13
Can someone explain how do we get to the answer? Thanks.
SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 202 [0], given: 0

Re: Another exponents [#permalink]  02 Nov 2008, 02:23
1/(2-sqrt3) = 1/(2-sqrt3)*(2+sqrt3)/(2+sqrt3) = (2+sqrt3)/(4-3) = 2+sqrt3.
Re: Another exponents   [#permalink] 02 Nov 2008, 02:23
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# frac{1}{2 - \sqrt{3}} = ? * \sqrt{3} - 2 * 2 + \sqrt{3} *

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