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:
\[ \sqrt[3]{8} = 2 \]