Question

rationalise 1 divided by
2+√3​

Answer 1

Answer:

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

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

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

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

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

$= 2 - \sqrt{3}$

Answer 2

Answer:

1/2+√3 = 1 × (2 - √3) / (2 + √3)(2 - √3)

= 2 - √3 / 2² - (√3)²

= 2 - √3 / 4 - 3

= 2 - √3 / 1

= 2 - √3