Question

Como resolver a expressão abaixo e qual resultado correto?

Answer 1

$Lembrando ~que:\\\\\rightarrow~\sqrt[b]{a^c}~=~a^{\frac{c}{b}}\\\\\\\frac{5.\sqrt[12]{64}-\sqrt{18}}{\sqrt{50}~-~\sqrt[4]{324}}\\\\\\\frac{5.\sqrt[12]{2^6}~-~\sqrt{2~.~3^2}}{\sqrt{2~.~5^2}~-~\sqrt[4]{2^2~.~3^4}}\\\\\\\frac{5~.~2^{\frac{6}{12}}~-~3\sqrt{2}}{5\sqrt{2}~-~3.\sqrt[4]{2^2}}\\\\\\\frac{5~.~2^{\frac{1}{2}}~-~3\sqrt{2}}{5\sqrt{2}~-~3~.~2^{\frac{2}{4}}}\\\\\\\frac{5~.~\sqrt{2}~-~3\sqrt{2}}{5\sqrt{2}~-~3~.~2^{\frac{1}{2}}}$

$\frac{5~.~\sqrt{2}~-~3\sqrt{2}}{5\sqrt{2}~-~3~.~\sqrt{2}}}\\\\\\\frac{2\sqrt{2}}{2\sqrt{2}}\\\\\\\boxed{1}$

Resposta: Letra (d)