\begin{tabular}{l} Add or subtract the radical expressions as indicated. \\ \( 2 \sqrt{48 m}-3 \sqrt{27 m}-\sqrt{3 m}=\square \) \\ \hline\( \square \) \\ \hline\( \square \) \\ \hline\end{tabular}

To simplify the expression \( 2 \sqrt{48 m} - 3 \sqrt{27 m} - \sqrt{3 m} \), we will follow these steps: 1. **Simplify each radical expression**: - For \( \sqrt{48 m} \): \[ \sqrt{48 m} = \sqrt{48} \cdot \sqrt{m} = \sqrt{16 \cdot 3} \cdot \sqrt{m} = 4 \sqrt{3m} \] - For \( \sqrt{27 m} \): \[ \sqrt{27 m} = \sqrt{27} \cdot \sqrt{m} = \sqrt{9 \cdot 3} \cdot \sqrt{m} = 3 \sqrt{3m} \] - For \( \sqrt{3 m} \): \[ \sqrt{3 m} = \sqrt{3} \cdot \sqrt{m} = \sqrt{3m} \] 2. **Substitute the simplified radicals back into the expression**: \[ 2 \sqrt{48 m} - 3 \sqrt{27 m} - \sqrt{3 m} = 2(4 \sqrt{3m}) - 3(3 \sqrt{3m}) - \sqrt{3m} \] This simplifies to: \[ 8 \sqrt{3m} - 9 \sqrt{3m} - \sqrt{3m} \] 3. **Combine like terms**: \[ (8 - 9 - 1) \sqrt{3m} = -2 \sqrt{3m} \] Thus, the final answer is: \[ -2 \sqrt{3m} \] So, the expression \( 2 \sqrt{48 m} - 3 \sqrt{27 m} - \sqrt{3 m} \) simplifies to \( -2 \sqrt{3m} \).