To find the cubic root of 189, we can write it as:
\[ \sqrt[3]{189} = \sqrt[3]{27 \times 7} = \sqrt[3]{27} \times \sqrt[3]{7} = 3 \sqrt[3]{7} \]
Thus, the cubic root of 189 is:
\[ 3 \sqrt[3]{7} \]
From the responses you provided, the correct choice is:
\(3 \sqrt[3]{7}\)