Question

rationalise the denominator of 1/2+√3​

Answer 1

$\huge \pink{ \boxed{ \sf{ \green{Answer:-}}}}$

According to question:

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

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

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

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

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

$\huge \red =\red 2 \red - \sqrt{3}$

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