To rewrite \(\sqrt{48}\) as the product of an integer and another irrational square root, we can factor \(48\) as follows:
\[ 48 = 16 \times 3 \]
Now, we can take the square root:
\[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3} \]
Thus, \(\sqrt{48}\) can be rewritten as \(4\sqrt{3}\).
The correct response is:
\(4\sqrt{3}\).