https://file.aiquickdraw.com/mathbot/file/1729736336814a89jn8v5.jpg

The image shows the square root of 305.77. To calculate it:

\[
\sqrt{305.77} \approx 17.49
\]

So, the square root of 305.77 is approximately 17.49.

Would you like more details on how to approach square roots or any related concepts?

Here are 5 related questions:
1. How do you estimate square roots without a calculator?
2. What is the difference between perfect squares and non-perfect squares?
3. Can you explain how to simplify square roots with decimals?
4. How do you calculate cube roots?
5. What are irrational numbers, and why are some square roots irrational?

**Tip:** When estimating square roots, it's useful to know nearby perfect squares (e.g., \(\sqrt{289} = 17\) and \(\sqrt{324} = 18\)) to refine your approximation.

Learn how to calculate the square root of 305.77. This problem involves approximating the square root of a non-perfect square and highlights key mathematical concepts such as square roots and nearby perfect squares. Suitable for students in Grades 6-8.

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