Question

Racionalize o denominador: 8/5-(³√2) (((8 sobre 5 menos raíz cúbica de 2)))​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\dfrac{8}{5 - \sqrt[3]{2}}}$

$\mathsf{\dfrac{8}{5 - \sqrt[3]{2}} = \left(\dfrac{8}{5 - \sqrt[3]{2}}\right)\:.\:\left(\dfrac{5 + \sqrt[3]{2^2}}{5 + \sqrt[3]{2^2}}\right)}$

$\mathsf{\dfrac{8}{5 - \sqrt[3]{2}} = \dfrac{40 + 8\sqrt[3]{4}}{25 - 2}}$

$\boxed{\boxed{\mathsf{\dfrac{8}{5 - \sqrt[3]{2}} = \dfrac{40 + 8\sqrt[3]{4}}{23}}}}$