The square root of 56 is approximately:

\[
\sqrt{56} \approx 7.483
\]

Since 56 is not a perfect square, the square root is an irrational number, meaning it cannot be expressed as a simple fraction. It can also be simplified as follows:

\[
\sqrt{56} = \sqrt{4 \times 14} = \sqrt{4} \times \sqrt{14} = 2\sqrt{14}
\]

Thus, the simplified form is \( 2\sqrt{14} \), and the decimal approximation is about 7.483.

Would you like more details or have any questions?

Here are five related questions to explore further:
1. What is the square root of 14 in simplified form?
2. How do you calculate the square root of non-perfect squares?
3. What are perfect squares, and how do they relate to simplifying square roots?
4. Can you simplify \( \sqrt{98} \) in a similar way?
5. How do you approximate square roots without a calculator?

**Tip:** When simplifying square roots, look for perfect square factors inside the radical sign to simplify the expression.

Explore the process of finding the square root of 56, including its simplified form as 2√14 and its decimal approximation (approximately 7.483). Understand how to simplify square roots and learn about irrational numbers. This solution is suitable for students in Grades 7-10.

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