Question

Racionalize o denominador$\frac{7}{\sqrt[3]{7}-\sqrt[3]{5}}$

Answer 1

$\frac{7}{\sqrt[3]{7}}-\sqrt[3]{5}=\frac{7}{\sqrt[3]{2}}$

$\frac{7}{\sqrt[3]{2}}=\frac{7\sqrt[3]{2}}{\sqrt[3]{2}}*\frac{\sqrt[3]{2}}{\sqrt[3]{2}}=\frac{7\sqrt[3]{2}}{\sqrt[3]{4}}=\frac{7\sqrt[3]{2}}{1,59}$