Question

porfavor me ajudem com essas duas contas
$\sqrt[3]{ - 16}$
$\sqrt{ \frac{2}{3} }$
​

Answer 1

$\sqrt[3]{ - 16} = \\ - \sqrt[3]{16} = \\ \\ 16 |2 \\ 8 \: \: |2 \\ 4 \: \: |2 \\ 2 \: \: |2 \\ 1 \: \: \boxed{ {2}^{3} \times 2 } \\ \\ - \sqrt[3]{ {2}^{3} \times 2 } = \\ - \sqrt[\diagup\!\!\!\!3]{ {2}^{\diagup\!\!\!\!3} } \sqrt[3]{2} = \\ \boxed{ - 2 \sqrt[3]{2} }$

$\sqrt{ \frac{2}{3} } = \frac{ \sqrt{2} }{ \sqrt{3} } = \frac{ \sqrt{6} }{3}$