Question

Sinplifique a expressão:
Obs.: O gabarito marca 2/3 , porém só consigo chegar a 2/27​

Answer 1

$\frac{8^\frac{1}{3}+0,033...-30^{-1}}{\sqrt{3}.\sqrt[3]{3^{1,5}}}\\\\\\\frac{\sqrt[3]{8}~+~\frac{3}{90}~-~\frac{1}{30}}{\sqrt{3}~.~\sqrt[3]{3^{\frac{3}{2}}}}\\\\\\\frac{2~+~\frac{1}{30}~-~\frac{1}{30}}{\sqrt{3}~.~3^{\frac{3}{2~.~3}}}\\\\\\\frac{2}{\sqrt{3}~.~3^{\frac{1}{2}}}\\\\\\\frac{2}{\sqrt{3}~.~\sqrt{3}}\\\\\\\frac{2}{\sqrt{3}^2}\\\\\\\boxed{\frac{2}{3}}$