2) \( \sqrt[3]{81}+\sqrt[3]{192}-\sqrt[3]{24} \)

To simplify \( \sqrt[3]{81}+\sqrt[3]{192}-\sqrt[3]{24} \), let's break it down. First, we know that \( 81 = 3^4 \), so \( \sqrt[3]{81} = \sqrt[3]{3^4} = 3^{4/3} = 3 \cdot \sqrt[3]{3} \). Next, for \( 192 \), we can factor it to \( 192 = 64 \cdot 3 = 2^6 \cdot 3 \), hence \( \sqrt[3]{192} = \sqrt[3]{64 \cdot 3} = \sqrt[3]{64} \cdot \sqrt[3]{3} = 4 \cdot \sqrt[3]{3} \). Finally, for \( 24 \), we can express it as \( 24 = 8 \cdot 3 = 2^3 \cdot 3 \), meaning \( \sqrt[3]{24} = \sqrt[3]{8 \cdot 3} = 2 \cdot \sqrt[3]{3} \). Putting all these together, we get: \[ \sqrt[3]{81} + \sqrt[3]{192} - \sqrt[3]{24} = (3\sqrt[3]{3}) + (4\sqrt[3]{3}) - (2\sqrt[3]{3}) = (3 + 4 - 2)\sqrt[3]{3} = 5\sqrt[3]{3}. \] So the simplified expression is \( 5\sqrt[3]{3} \).