(√48+√3) •√3

To simplify \((\sqrt{48} + \sqrt{3}) \cdot \sqrt{3}\), you can distribute \(\sqrt{3}\) to both terms inside the parentheses: \[ (\sqrt{48} + \sqrt{3}) \cdot \sqrt{3} = \sqrt{48} \cdot \sqrt{3} + \sqrt{3} \cdot \sqrt{3} \] Now, simplify each term: 1. For \(\sqrt{48} \cdot \sqrt{3}\): \[ \sqrt{48 \cdot 3} = \sqrt{144} = 12 \] 2. For \(\sqrt{3} \cdot \sqrt{3}\): \[ \sqrt{3} \cdot \sqrt{3} = 3 \] Now combine the results: \[ 12 + 3 = 15 \] So, the final result is: \[ (\sqrt{48} + \sqrt{3}) \cdot \sqrt{3} = 15 \]