The problem requires us to simplify the expression $\sqrt{12} - \sqrt{108} + \sqrt{48}$.

1. Problem Description

The problem requires us to simplify the expression $\sqrt{12} - \sqrt{108} + \sqrt{48}$.

2. Solution Steps

First, we simplify each radical term:

$\sqrt{12} = \sqrt{4 \cdot 3} = \sqrt{4} \cdot \sqrt{3} = 2\sqrt{3}$

$\sqrt{108} = \sqrt{36 \cdot 3} = \sqrt{36} \cdot \sqrt{3} = 6\sqrt{3}$

$\sqrt{48} = \sqrt{16 \cdot 3} = \sqrt{16} \cdot \sqrt{3} = 4\sqrt{3}$

Now, substitute the simplified radicals back into the expression:

$2\sqrt{3} - 6\sqrt{3} + 4\sqrt{3}$

Combine the terms:

$(2 - 6 + 4)\sqrt{3} = (6 - 6)\sqrt{3} = 0\sqrt{3} = 0$

3. Final Answer

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