The square root of 765 is approximately \( 27.66 \).

Would you like further details or have any questions? Here are some related questions to consider:

1. What is the square of 27.66?
2. How do you calculate square roots by hand?
3. What is the square root of a perfect square near 765?
4. Can you calculate cube roots using a similar method?
5. How does estimating square roots differ for non-perfect squares?

**Tip:** When dealing with square roots of non-perfect squares, you can estimate them by finding the nearest perfect squares as a reference.

Learn how to estimate the square root of 765, which is approximately 27.66. This problem involves understanding the square root theorem and using the estimation method for non-perfect squares. Ideal for students in Grades 6-8.

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