Question
what is the cubic root of 32 as a radical
Answers
GPT-4o mini
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:
\[
2 \sqrt[3]{4}
\]
\[
\sqrt[3]{32}
\]
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:
\[
2 \sqrt[3]{4}
\]