To simplify the square root of 180, we begin by finding the prime factorization of 180:

$180 = 2^2 \times 3^2 \times 5$

Now, break it down:

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

Next, apply the square root to the perfect squares:

$\sqrt{2^2} = 2 \quad \text{and} \quad \sqrt{3^2} = 3$

So,

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

Thus, the simplest radical form of $\sqrt{180}$ is:

$6\sqrt{5}$

Would you like more details or have any questions?

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Here are 5 related questions you can explore:

1. How do you simplify $\sqrt{72}$?
2. What is the square root of 50 in simplest radical form?
3. How can you simplify $\sqrt{245}$?
4. What is the prime factorization method for simplifying radicals?
5. How do you simplify $\sqrt{32}$?

Tip: Always look for perfect square factors when simplifying square roots!