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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: 267

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

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19 Oct 2008, 00:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

$$\frac{1}{2 - \sqrt{3}} = ?$$

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

Kudos [?]: 550 [0], given: 22

VP
Joined: 17 Jun 2008
Posts: 1374

Kudos [?]: 426 [0], given: 0

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19 Oct 2008, 00:51
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
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cheers
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Kudos [?]: 426 [0], given: 0

Senior Manager
Joined: 05 Oct 2008
Posts: 267

Kudos [?]: 550 [0], given: 22

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02 Nov 2008, 03:13
Can someone explain how do we get to the answer? Thanks.

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SVP
Joined: 17 Jun 2008
Posts: 1534

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02 Nov 2008, 03:23
1/(2-sqrt3) = 1/(2-sqrt3)*(2+sqrt3)/(2+sqrt3) = (2+sqrt3)/(4-3) = 2+sqrt3.

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Re: Another exponents   [#permalink] 02 Nov 2008, 03:23
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frac{1}{2 - \sqrt{3}} = ? * \sqrt{3} - 2 * 2 + \sqrt{3} *

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