The square root of 75 is approximately:

\[
\sqrt{75} = 8.660
\]

This value is rounded to three decimal places.

Would you like more details on how this is calculated, or do you have any other questions?

Here are some related questions to explore:
1. What is the square root of 100?
2. How do you simplify the square root of 75?
3. What is the difference between square roots of perfect squares and non-perfect squares?
4. Can the square root of 75 be simplified further?
5. How do you estimate the square root of non-perfect squares?

**Tip:** When simplifying square roots, look for perfect square factors (like 25 in 75) to break down the expression for easier calculation.

Learn how to approximate the square root of 75 to three decimal places, yielding approximately 8.660. This problem also discusses how to simplify square roots and estimate non-perfect square roots. Suitable for students in Grades 6-8.

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