The cube root of $125$ is $5$, because:

$5 \times 5 \times 5 = 125$

So, $\sqrt[3]{125} = 5$.

Would you like more details on cube roots, or do you have any other questions?

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Here are 5 related questions you may find interesting:

1. What is the cube root of $27$?
2. How do cube roots differ from square roots?
3. How do you simplify cube roots of larger numbers?
4. What are the properties of cube roots in algebra?
5. How can cube roots be used in real-world applications?

Tip: Remember that the cube root of a number is the value that, when multiplied by itself three times, gives the original number.