Question

rationalise the denominator of 1/2+root3

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Answer 1

Answer:

$2 - \sqrt{3}$

Step-by-step explanation:

$\frac{1}{2 + \sqrt{3} }$

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

$\frac{2 - \sqrt{3} }{( {2})^{2} - {( \sqrt{3} )}^{2} }$

$\frac{2 - \sqrt{3} }{4 - 3}$

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

$2 - \sqrt{3}$