The cubic root of 32 can be expressed as \( \sqrt[3]{32} \).
To find it:
- Recognize that 32 can be expressed as \( 2^5 \).
- The cubic root can then be calculated as follows:
\[ \sqrt[3]{32} = \sqrt[3]{2^5} = 2^{5/3} \]
- This can be simplified further:
\[ 2^{5/3} = 2^{1 + 2/3} = 2^1 \times 2^{2/3} = 2 \times \sqrt[3]{4} \]
Thus, the cubic root of 32 is approximately:
\[ \sqrt[3]{32} \approx 3.17 \]
In decimal form, the cubic root of 32 is approximately \( 3.1748 \).