Question

simplifique as expressões raiz cubica de 3 + 2 raiz cubica de 24 - raiz cubica de 192​

Answer 1

192/2

96/2

48/2

24/2

12/2

6/2

3/3

1

$\sqrt[3]{3} + 2 \sqrt[3]{24} - \sqrt[3]{192} = \\ \sqrt[3]{3} + 2 \sqrt[3]{ {2}^{3} \times 3 } - \sqrt[3]{ {2}^{6} \times 3} = \\ \sqrt[3]{3} + 2 \times 2 \sqrt[3]{3} - {2}^{2} \sqrt[3]{3} = \\ \sqrt[3]{3} + 4 \sqrt[3]{3} - 4 \sqrt[3]{3} = \\ \sqrt[3]{3}$