Question

como racionalizar: 1/(2-∛2)

Answer 1

$\frac{1}{2-\sqrt[3]{2} } . \frac{2+\sqrt[3]{2} }{2+\sqrt[3]{2} } =$

$\frac{2+\sqrt[3]{2} }{(2-\sqrt[3]{2})(2+\sqrt[3]{2}) } =$

$\frac{2+\sqrt[3]{2} }{4+2\sqrt[3]{2}-2\sqrt[3]{2}-\sqrt[3]{4} } =$

$\frac{2+\sqrt[3]{2} }{4-\sqrt[3]{4} }$

Bons estudos!