The problem shown is asking for the cube root of 729, expressed as $\sqrt[3]{729}$.

To solve this:

$\sqrt[3]{729} = 9$

This is because:

$9^3 = 9 \times 9 \times 9 = 729$

Thus, the cube root of 729 is 9.

Would you like further details or have any questions?

Here are some related questions to expand on this topic:

1. How do you calculate cube roots for numbers that aren't perfect cubes?
2. What is the difference between cube roots and square roots?
3. How can we estimate cube roots for large numbers without using a calculator?
4. How do cube roots apply in real-world situations, such as volume calculations?
5. What is the cube root of a negative number?

Tip: To find cube roots more easily, it helps to memorize cubes of small integers (e.g., $2^3 = 8$, $3^3 = 27$, etc.).