To simplify \( \sqrt[3]{54} \), we start by factoring \( 54 \) into its prime factors:
\[ 54 = 2 \times 27 = 2 \times 3^3 \]
Now we can take the cube root:
\[ \sqrt[3]{54} = \sqrt[3]{2 \times 3^3} \]
Using the property of cube roots, we can separate the factors:
\[ \sqrt[3]{54} = \sqrt[3]{2} \times \sqrt[3]{3^3} \]
Since \( \sqrt[3]{3^3} = 3 \), we have:
\[ \sqrt[3]{54} = 3 \sqrt[3]{2} \]
So, the simplified form of \( \sqrt[3]{54} \) is:
\[ 3\sqrt[3]{2} \]