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:
For \(\sqrt{48} \cdot \sqrt{3}\): \[ \sqrt{48 \cdot 3} = \sqrt{144} = 12 \]
For \(\sqrt{3} \cdot \sqrt{3}\): \[ \sqrt{3} \cdot \sqrt{3} = 3 \]
Now combine the results: \[ 12 + 3 = 15 \]
So, the final result is: \[ (\sqrt{48} + \sqrt{3}) \cdot \sqrt{3} = 15 \]