Question

³√24 + 3³√81 = ?????

Answer 1

Para resolver raízes, fatore os números dentro delas.

$24/2 = 12 \\ 12/2 = 6 \\ 6/2 = 3 \\ 3/3 = 1$

$81/3 = 27 \\ 27/3 = 9 \\ 9/3 = 3 \\ 3/3 = 1$

Portanto:

$24 = 2^{3}.3$
$81 = 3^{3}.3$

Assim:

$\sqrt[3]{24} + 3. \sqrt[3]{81} \\ \\ \sqrt[3]{2^{3}.3} + 3. \sqrt[3]{3^{3}.3} \\ \\ 2.\sqrt[3]{3} + 3.3 \sqrt[3]{3} \\ \\ 2.\sqrt[3]{3} + 9 \sqrt[3]{3} \\ \\ 11. \sqrt[3]{3}$