Question

Simplify 2+√3
/2−√3
−
2−√3
/2+√3 ​

Answer 1

Answer:

$\frac{2 + \sqrt{3} }{ 2 - \sqrt{3 } } \\ = \frac{(2 + \sqrt{3)}(2 + \sqrt{3)} }{(2 - \sqrt{3)}(2 + \sqrt{3)} } \\ = \frac{ {(2 + \sqrt{3)} }^{2} }{ {2 }^{2} - { \sqrt{3} }^{2} } \\ = \frac{4 + 3 + 4 \sqrt{3} }{4 - 3} \\ = 7 + 4 \sqrt{3}$