Question

Rationalise the denominator
$1 \div 2 + \sqrt{} 3$
​

Answer 1

2+√3/1

you first multiply 2-√3 on boths sides and evaluate

Answer 2

Answer:

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

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

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

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

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

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

$= 2 - \sqrt{3}$