what is the cubic root of 32 as a radical

Answer 1

The cubic root of 32 can be expressed as a radical as follows:

\[ \sqrt[3]{32} \]

To simplify this expression, note that:

\[ 32 = 2^5 \]

Therefore:

\[ \sqrt[3]{32} = \sqrt[3]{2^5} = 2^{5/3} = 2^{1 + 2/3} = 2 \cdot 2^{2/3} = 2 \sqrt[3]{4} \]

So, the cubic root of 32 in radical form is:

\[ 2 \sqrt[3]{4} \]