Find the cube root of 512: 512−−−√3

The cube root of 512 is calculated as follows:

\[ \sqrt[3]{512} = 8 \]

This is because \(8^3 = 8 \times 8 \times 8 = 512\).

However, since cube roots can be both positive and negative (as both positive and negative numbers can be cubed to yield a positive result), the complete answer is:

\[ \sqrt[3]{512} = 8 \text{ or } -8 \]

Therefore, the response is 8, -8.