To simplify the square root of 80, we factorize \( 80 \) as follows:

\[
80 = 16 \times 5
\]

Now, take the square root:

\[
\sqrt{80} = \sqrt{16 \cdot 5} = \sqrt{16} \cdot \sqrt{5} = 4\sqrt{5}
\]

### Final Answer:
\[
\sqrt{80} = 4\sqrt{5}
\]

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Would you like a detailed breakdown of the steps?  
Here are five related questions to deepen your understanding:

1. How do you simplify other roots like \( \sqrt{72} \) or \( \sqrt{200} \)?  
2. What are some applications of simplified square roots in geometry?  
3. How do you estimate the value of an irrational root like \( \sqrt{5} \)?  
4. What happens when you simplify cube roots instead of square roots?  
5. Can the process of simplification be automated in certain scenarios?  

### Tip:
Always look for the largest perfect square factor of a number when simplifying square roots.

Learn how to simplify the square root of 80 step-by-step. This problem involves factorization and the properties of square roots, resulting in the simplified form 4√5. Suitable for students in Grades 7-9.

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