The cubic root of 32 is denoted as \(\sqrt[3]{32}\).
To find the cubic root, we can express 32 as a power of 2: \[ 32 = 2^5 \] Now, we can use the property of roots that states \(\sqrt[3]{a^b} = a^{b/3}\): \[ \sqrt[3]{32} = \sqrt[3]{2^5} = 2^{5/3} \]
To simplify further, we can express \(2^{5/3}\) as: \[ 2^{5/3} = 2^{1 + 2/3} = 2^1 \cdot 2^{2/3} = 2 \cdot \sqrt[3]{4} \]
So, the cubic root of 32 can also be expressed as \(2 \cdot \sqrt[3]{4}\).
However, if you just want the numeric value: \[ \sqrt[3]{32} \approx 3.1748 \]
So, the answer in simplified radical form can be expressed as \(2 \cdot \sqrt[3]{4}\) or approximately \(3.1748\).