Question

Rationalize 1/ 2+√3​

Answer 1

Answer:

1/2+√3•1/2-√3/1-2√3

=1/

Answer 2

Step-by-step explanation:

$rationalising \ factor \ = 2 - \sqrt{3} \\\\ given, \\=> \frac{1}{2+\sqrt{3} } \\\\ =>( \frac{1}{2+\sqrt{3} })( \frac{2-\sqrt{3} }{2-\sqrt{3} }) \\\\=> \frac{2-\sqrt{3} }{(2+\sqrt{3} )(2-\sqrt{3}) } \\\\=> \frac{2-\sqrt{3}}{2^{2} - (\sqrt{3})^{2}} \\\\=> \frac{2-\sqrt{3}}{4-3}\\\\=> \frac{2-\sqrt{3}}{1} \\\\ => (2-\sqrt{3})$