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The problem asks to simplify \(\sqrt{220}\).

To simplify square roots, we factor the number under the square root into its prime factors and extract the perfect squares.

Let's factor 220:
\[
220 = 2^2 \times 5 \times 11
\]

Now, we can take the square root of \(2^2\) (which is 4):
\[
\sqrt{220} = \sqrt{2^2 \times 5 \times 11} = 2\sqrt{55}
\]

Thus, the simplified form of \(\sqrt{220}\) is:
\[
\boxed{2\sqrt{55}}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify the square root of a larger number, such as \(\sqrt{500}\)?
2. What is the process for simplifying cube roots like \(\sqrt[3]{220}\)?
3. How can you simplify a square root involving fractions, such as \(\sqrt{\frac{16}{25}}\)?
4. What are the steps to factorize a large number using prime factorization?
5. What is the simplified form of \(\sqrt{180}\)?

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

Learn how to simplify the square root of 220 using prime factorization. Understand the step-by-step process and extract perfect square factors to get the simplified form of 2√55. Suitable for students in Grades 8-10.

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