To simplify \( \sqrt{180} \), follow these steps:

First, factorize 180 into its prime factors:
\[
180 = 2^2 \times 3^2 \times 5
\]

Now, apply the square root:
\[
\sqrt{180} = \sqrt{2^2 \times 3^2 \times 5}
\]
\[
\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5} = 2 \times 3 \times \sqrt{5} = 6\sqrt{5}
\]

So, the simplified form of \( \sqrt{180} \) is:
\[
\sqrt{180} = 6\sqrt{5}
\]

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you simplify \( \sqrt{75} \)?
2. What is the square root of \( \sqrt{360} \)?
3. How do you find the square root of a product like \( 12 \times 15 \)?
4. What is the simplest form of \( \sqrt{45} \)?
5. How do you simplify \( \sqrt{72} \) and compare it with \( \sqrt{180} \)?

**Tip:** When simplifying square roots, look for pairs of prime factors, as these will simplify neatly.

Learn how to simplify the square root of 180 (sqrt(180)) with a detailed step-by-step solution. This problem covers key concepts like square roots and prime factorization, suitable for Grades 7-9.

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