Let's begin by listing out the information given to us:
√³512 means we are looking for a number that when we multiply the number by itself three times, it gives us 512
The answer is 8
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![\begin{gathered} \sqrt[3]{512}=8 \\ 8\cdot8\cdot8=64\cdot8=512 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dh3dcphtxobvqblv46mes8lvjjmg04g8t3.png)