Express in simplest radical form.
square root of, 125, end square root
125
​

To simplify \(\sqrt{125}\), follow these steps:

1. Break down \(125\) into its prime factors:
   \[
   125 = 5 \times 5 \times 5 = 5^3
   \]

2. Apply the square root to the factors:
   \[
   \sqrt{125} = \sqrt{5^3} = \sqrt{5^2 \times 5}
   \]

3. Simplify the square root by taking out the perfect square \(5^2\):
   \[
   \sqrt{125} = 5\sqrt{5}
   \]

Thus, the simplest radical form of \(\sqrt{125}\) is:
\[
5\sqrt{5}
\]

Would you like further details or have any questions?

Here are some related questions:
1. How would you simplify \(\sqrt{180}\)?
2. What is the square root of \(500\) in simplest radical form?
3. How do you simplify \(\sqrt{50}\)?
4. What is the process to simplify cube roots?
5. How do you express \(\sqrt{245}\) in simplest form?

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

Express in simplest radical form. square root of 125

Discover how to simplify the square root of 125 into its simplest radical form. This solution breaks down the problem using prime factorization and properties of square roots, making it ideal for students in Grades 8-10. Learn how to express square roots efficiently.

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