Question

Rationalise the
denominator of
1by2plusroot3​

Answer 1

Answer:

[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}

Answer 2

Answer:

$2 - \sqrt{3}$

Step-by-step explanation:

$\frac{1}{2 + \sqrt{3 } } \\ \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \frac{2 - \sqrt{3} }{ {2}^{2} - 3 } \\ \frac{2 - \sqrt{3} }{4 - 3} \\ 2 - \sqrt{3}$

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