Question

Observe a operação de radicais a seguir:
(8 raiz cubica de 16 - 6 raiz cubica de 2) - (2 raiz de 75 - 6 raiz de 3)

Obrigado :)

Answer 1

$(8 \sqrt[3]{16} - 6 \sqrt[3]{2}) - (2 \sqrt{75} - 6 \sqrt{3)} \\( 8 \sqrt[3]{ {2}^{4} } - 6 \sqrt[3]{2} ) - (2 \sqrt{ {5}^{2} \times 3} - 6 \sqrt{3} ) \\ (8 \sqrt[3]{ {2}^{3} \times 2} - 6 \sqrt[3]{2} ) - (2 \times 5 \sqrt{3} - 6 \sqrt{3} ) \\ (8 \times 2 \sqrt[3]{2} - 6 \sqrt[3]{2} ) - (10 \sqrt{3} - 6 \sqrt{3} ) \\ (16 \sqrt[3]{2} - 6 \sqrt[3]{2} ) - (10 - 6 \sqrt{3} ) \\ (16 - 6 \sqrt[3]{2} ) - 4 \sqrt{3} \\ 10 \sqrt[3]{2} - 4 \sqrt{3}$