Step-by-step explanation:
[tex] \frac{1}{2 - \sqrt{3} } \\ = \frac{2 + \sqrt{3} }{(2 - \sqrt{3}) (2 + \sqrt{3} ) } \\ = \frac{2 - \sqrt{3} }{ {2}^{2} - {( \sqrt{3}) }^{2} } \\ = \frac{2 - \sqrt{3} }{4 - 3} \\ = \frac{2 - \sqrt{3} }{1} \\ = 2 - \sqrt{3} [/tex]
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Answers & Comments
Step-by-step explanation:
[tex] \frac{1}{2 - \sqrt{3} } \\ = \frac{2 + \sqrt{3} }{(2 - \sqrt{3}) (2 + \sqrt{3} ) } \\ = \frac{2 - \sqrt{3} }{ {2}^{2} - {( \sqrt{3}) }^{2} } \\ = \frac{2 - \sqrt{3} }{4 - 3} \\ = \frac{2 - \sqrt{3} }{1} \\ = 2 - \sqrt{3} [/tex]