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MaRussiya [10]
3 years ago
7

Helpenejiriehdisnsjsos​

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

2 + \sqrt{3}

Step-by-step explanation:

\dfrac{1}{\sqrt{4} - \sqrt{3}} =

= \dfrac{1}{2 - \sqrt{3}}

= \dfrac{1}{2 - \sqrt{3}} \times \dfrac{2 + \sqrt{3}}{2 + \sqrt{3}}

= \dfrac{2 + \sqrt{3}}{(2 - \sqrt{3})(2 + \sqrt{3})}

= \dfrac{2 + \sqrt{3}}{4 - 3}

= \dfrac{2 + \sqrt{3}}{1}

= 2 + \sqrt{3}

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