Question

Racionalizar:

 

$<var>\frac{x-8}{\sqrt[3]{x}-2}</var>$

Answer 1

$\frac{x - 8}{\sqrt[3]{x} - 2} \times \frac{\sqrt[3]{x^2} + 2}{\sqrt[3]{x^2} + 2} = \\\\ \frac{(x - 8)(\sqrt[3]{x^2} + 2)}{\sqrt[3]{x^3} - 4} = \\\\ \boxed{\frac{(x - 8)(\sqrt[3]{x^2} + 2)}{x - 4}}$