To simplify \( \sqrt[3]{54} \), we start by factoring 54 into its prime factors:
\[ 54 = 2 \times 3^3 \]
Thus, we can rewrite \( \sqrt[3]{54} \) as:
\[ \sqrt[3]{54} = \sqrt[3]{2 \times 3^3} \]
Now we can separate the cube root of the product:
\[ \sqrt[3]{54} = \sqrt[3]{2} \times \sqrt[3]{3^3} \]
Since \( \sqrt[3]{3^3} = 3 \), we have:
\[ \sqrt[3]{54} = \sqrt[3]{2} \times 3 \]
Thus, the simplified form is:
\[ \sqrt[3]{54} = 3\sqrt[3]{2} \]
So, the final answer is:
\[ \boxed{3\sqrt[3]{2}} \]