Question

Simplifique as expressões, utilize o método da Fatoração.

$\sqrt[3]{250}$ - $\sqrt[3]{16}$ + 4$\sqrt[3]{54}$ - 3$\sqrt[3]{2}$
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$\sqrt[3]{432}$ + $\sqrt[3]{16}$

Answer 1

Resposta:

$\sqrt[3]{250} - \sqrt[3]{16} + 4 \sqrt[3]{54} - 3 \sqrt[3]{2} \\ \sqrt[3]{2 \times {5}^{3} } - \sqrt[3]{ {2}^{4} } + 4 \sqrt[3]{2 \times {3}^{3} } - 3 \sqrt[3]{2} \\ 5 \sqrt[3]{2} - 2 \sqrt[3]{2} + 4 \times 3 \sqrt[3]{2} - 3 \sqrt[3]{2} \\ 5 \sqrt[3]{2} - 2 \sqrt[3]{2} + 12\sqrt[3]{2} - 3 \sqrt[3]{2} \\ 12 \sqrt[3]{2}$

$\sqrt[3]{432} + \sqrt[3]{16} \\ \sqrt[3]{ {2}^{4} \times {3}^{3} } + \sqrt[3]{ {2}^{4} } \\ 2 \times 3 \sqrt[3]{2} + 2 \sqrt[3]{2} \\ 6 \sqrt[3]{2} + 2 \sqrt[3]{2} \\ 8 \sqrt[3]{2}$