Question

cube root 16 + cube root 54+ cube root 192 - cube root 375

Answer 1

$$\begin{gathered} \sqrt[3]{16}+\sqrt[3]{54}+\sqrt[3]{192}-\sqrt[3]{375} \\ =\sqrt[3]{2\times 2\times 2\times 2}+\sqrt[3]{2\times 3\times 3\times 3}+\sqrt[3]{2\times 2\times 2\times 2\times 2\times 2\times 3}-\sqrt[3]{5\times 5\times 5\times 3} \\ =2\sqrt[3]{2}+3\sqrt[3]{2}+4\sqrt[3]{3}-5\sqrt[3]{3} \\ =5\sqrt[3]{2}-\sqrt[3]{3} \end{gathered}$$