The value of $\sqrt{79}$ correct to three decimal places is $8.889$.

Would you like to know more details or have any other questions about this?

Here are some related questions you might consider:

1. How can we verify this computation using a different method?
2. What are the properties of the number 79 that make it unique in terms of square roots?
3. How do square roots function in various real-world applications?
4. Can you explain how to approximate square roots manually?
5. What would be the next two decimal places for $\sqrt{79}$?

Tip: Remember, knowing how to compute square roots can be useful in solving quadratic equations and understanding geometric concepts.