To find the cubic root of 96, we can express it as:
\[ \sqrt[3]{96} \]
Next, we can simplify \(96\) to find its prime factorization:
\[ 96 = 2^5 \times 3^1 \]
Taking the cubic root of \(96\):
\[ \sqrt[3]{96} = \sqrt[3]{2^5 \times 3^1} = \sqrt[3]{2^5} \times \sqrt[3]{3^1} = \sqrt[3]{2^3 \cdot 2^2} \times \sqrt[3]{3} = 2 \times \sqrt[3]{4} \times \sqrt[3]{3} \]
So, it can be rewritten as:
\[ 2 \cdot \sqrt[3]{12} \]
Therefore, the simplified expression for the cubic root of 96 is:
\[ 2 \sqrt[3]{12} \]
Among the given options, the closest matching response is:
2 root index 3 start root 12 end root.