The cubic root of 32 can be denoted as \( \sqrt[3]{32} \).
To find it, we look for a number \( x \) such that \( x^3 = 32 \).
Calculating, we see that: \[ 2^3 = 8 \ 3^3 = 27 \ 4^3 = 64 \]
Since \( 27 < 32 < 64 \), the cubic root of 32 must be between 3 and 4. For a more precise calculation:
\[ \sqrt[3]{32} \approx 3.17 \]
To express it exactly: \[ \sqrt[3]{32} = \sqrt[3]{2^5} = 2^{5/3} = 2^{1 + 2/3} = 2 \cdot 2^{2/3} = 2 \sqrt[3]{4} \]
Thus, the cubic root of 32 can be approximated as \( 3.17 \) or expressed as \( 2 \sqrt[3]{4} \).