The value of \( 3 \sqrt{125} \) can be simplified as follows:

First, break down the square root of 125:
\[
\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5 \sqrt{5}
\]

Now multiply by 3:
\[
3 \times 5 \sqrt{5} = 15 \sqrt{5}
\]

Thus, the value of \( 3 \sqrt{125} \) is \( 15 \sqrt{5} \).

Would you like further details or have any questions?

Here are some related questions:
1. What is the square root of 80 in simplest form?
2. How would you simplify \( 2 \sqrt{72} \)?
3. What is the cube root of 125?
4. Can you explain how to simplify square roots involving variables?
5. What is the value of \( 4 \sqrt{50} \) in simplest form?

**Tip:** When simplifying square roots, always look for perfect square factors for easier simplification!

Find out how to simplify the expression 3 √125 step by step to 15 √5. This solution involves breaking down square roots, multiplying radicals, and applying the properties of square roots. Suitable for Grades 6-8 students learning radical simplification.

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