Question

Galera, queria saber o resultado simplificado da raiz de (2 + raiz de 3) dividido por (2 - raiz de 3).

Answer 1

Bom dia !


Solução!

$\dfrac{2+ \sqrt{3}}{2- \sqrt{3} }\\\\\\\\ \dfrac{2+ \sqrt{3}}{2- \sqrt{3} } \times \dfrac{2+ \sqrt{3}}{2+ \sqrt{3} }\\\\\\\\\\ \dfrac{4+2 \sqrt{3}+2 \sqrt{3} + \sqrt{9} }{4+2 \sqrt{3} -2 \sqrt{3}- \sqrt{9} } \\\\\\\\ \dfrac{4+2 \sqrt{3}+2 \sqrt{3} + 3 }{4- 3 } \\\\\\\\ \dfrac{4+3+4 \sqrt{3} }{1} \\\\\\\\ 7+4 \sqrt{3}$


Bom dia!

Bons estudos!