Question

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} }$
alguém me ajuda​

Answer 1

Explicação passo-a-passo:

$\frac{2+\sqrt{3}}{2-\sqrt{3}}=\frac{2+\sqrt{3}}{2-\sqrt{3}}.\frac{2+\sqrt{3}}{2+\sqrt{3}}$

$\frac{(2+\sqrt{3})(2+\sqrt{3})}{(2-\sqrt{3})(2+\sqrt{3})}=\frac{4+2\sqrt{3}+2\sqrt{3}+\sqrt{9}}{4+2\sqrt{3}-2\sqrt{3}-\sqrt{9}}$

$\frac{4+4\sqrt{3}+3}{4-3}=\frac{4+3+4\sqrt{3}}{1}$

$\boxed{\begin{array}{Ir}7+4\sqrt{3}\end{array}}$

Espero ter ajudado bastante!)