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The problem asks you to find the integers closest to the square root of 126.

Let's calculate this:

1. Find the approximate square root of 126:
   \[
   \sqrt{126} \approx 11.225
   \]

2. Determine the two closest integers:
   - The integer just below 11.225 is 11.
   - The integer just above 11.225 is 12.

Thus, the correct statement to complete is:
\[
11 < \sqrt{126} < 12
\]

Would you like more details on the calculation?

Here are 5 related questions for practice:
1. What are the two integers that surround \(\sqrt{200}\)?
2. Can you estimate \(\sqrt{150}\)?
3. What are the closest integers to \(\sqrt{50}\)?
4. How can you estimate square roots without a calculator?
5. What would be the two integers for \(\sqrt{300}\)?

**Tip**: When estimating square roots, it's helpful to remember perfect squares close to the number you're working with (e.g., \(\sqrt{121} = 11\) and \(\sqrt{144} = 12\) for \(\sqrt{126}\)).

Complete the following statement. Use the integers that are closest to the square root of 126.

Learn how to estimate the square root of 126 and find the two closest integers surrounding it. This problem teaches essential concepts of square roots and estimation. Suitable for Grade 8 students.

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