The square root of 180 can be simplified by finding the prime factorization of 180 and then simplifying the square root.

1. Prime Factorization of 180: $180 = 2^2 \times 3^2 \times 5$

2. Simplify the square root: $\sqrt{180} = \sqrt{2^2 \times 3^2 \times 5} = \sqrt{2^2} \times \sqrt{3^2} \times \sqrt{5}$

   $\sqrt{180} = 2 \times 3 \times \sqrt{5} = 6\sqrt{5}$

So, the simplified form of $\sqrt{180}$ is $6\sqrt{5}$.

Would you like more details or have any questions?

Here are some related questions:

1. How do you find the prime factorization of a number?
2. What are the steps to simplify square roots with multiple factors?
3. Can you explain how to simplify $\sqrt{72}$?
4. What is the square root of 450 in simplified form?
5. How do you rationalize the denominator of a fraction with a square root?

Tip: When simplifying square roots, always look for perfect squares in the factorization.