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To find the cube root of 8, we can express this as:
\[
\sqrt[3]{8}
\]
The cube root of 8 is 2, since \(2 \times 2 \times 2 = 8\). So, we have:
\[
\sqrt[3]{8} = 2
\]
Next, we can rewrite rational exponents as radicals. The expression for the cube root can be written as:
\[
8^{\frac{1}{3}}
\]
Now, to rewrite this using radicals, we have:
\[
8^{\frac{1}{3}} = \sqrt[3]{8}
\]
Since we already know that \(\sqrt[3]{8} = 2\), we have the simplified result:
\[
2
\]
Therefore, the cube root of 8, expressed with rational exponents as radicals and simplified, is:
\[
\sqrt[3]{8} = 2
\]