Let's go through the questions visible in the image and provide solutions one by one:

7. What is $\sqrt[3]{512}$?

The cube root of 512 can be calculated as follows: $512 = 8^3 \quad \text{so} \quad \sqrt[3]{512} = 8$ Answer: $\boxed{8}$

8. What is $\sqrt{289}$?

The square root of 289 is calculated as: $\sqrt{289} = 17$ Answer: $\boxed{17}$

9. What is $\sqrt[3]{1000}$?

The cube root of 1000 is: $1000 = 10^3 \quad \text{so} \quad \sqrt[3]{1000} = 10$ Answer: $\boxed{10}$

Would you like any additional details or explanations?

Here are five related questions:

1. What is the cube root of 729?
2. How do you calculate the square root of 144?
3. What is $\sqrt[4]{16}$?
4. How would you find $\sqrt[3]{27}$?
5. What is the square root of 169?

Tip: When dealing with roots, try memorizing common squares and cubes (like $\sqrt{81} = 9$ and $\sqrt[3]{64} = 4$) to solve similar problems faster.