Question

racionalize os denominadores das fraçoes
$\frac{1}{5 \sqrt[3]{4} }$
​

Answer 1

$\frac{1}{5.\sqrt[3]{4}}~.~\frac{\sqrt[3]{4^2}}{\sqrt[3]{4^2}}~=~\frac{1~.~\sqrt[3]{4^2}}{5.\sqrt[3]{4~.~4^2}}~=~\frac{\sqrt[3]{4^2}}{5.\sqrt[3]{4^3}}~=~\frac{\sqrt[3]{16}}{5~.~4}~=~\boxed{\frac{\sqrt[3]{16}}{20}}$