The cubic root of \(32\) can be written as \(\sqrt[3]{32}\).
To find the cubic root, we can factor \(32\): \[ 32 = 2^5 \] Thus, we can express \(32\) as follows: \[ \sqrt[3]{32} = \sqrt[3]{2^5} = 2^{5/3} = 2^{1 + 2/3} = 2 \cdot 2^{2/3} \] This can be further simplified to: \[ 2 \cdot \sqrt[3]{4} \] However, the approximate value of \(\sqrt[3]{32}\) is: \[ \sqrt[3]{32} \approx 3.1748 \]
Therefore, the cubic root of \(32\) is: \(\sqrt[3]{32} = 2 \cdot \sqrt[3]{4} \approx 3.1748\).