https://file.aiquickdraw.com/mathbot/file/1726845398978lcwzjue3.jpg

To solve this problem, we need to determine the two integers that are closest to the square root of 7, denoted as \(\sqrt{7}\), in order to complete the inequality.

1. First, calculate the approximate value of \(\sqrt{7}\):
   \[
   \sqrt{7} \approx 2.64575
   \]

2. The integers that are closest to 2.64575 are 2 and 3.

Thus, the inequality can be completed as:
\[
2 < \sqrt{7} < 3
\]

Would you like a detailed explanation of how to calculate square roots or anything else related to this problem?

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Here are 5 related questions:
1. What is the square root of other numbers like 5 and 6?
2. How do you calculate square roots without a calculator?
3. Why is \(\sqrt{7}\) an irrational number?
4. What is the process to approximate irrational square roots more accurately?
5. How can you apply square roots in real-world situations?

**Tip:** To estimate square roots, find perfect squares close to the number and use them as benchmarks.

Complete the following statement. Use the integers that are closest to the number in the middle: [ ] < √7 < [ ]

Learn how to complete an inequality using the integers closest to √7, which is approximately 2.64575. This problem helps in understanding square roots and inequalities, suitable for Grades 6-8.

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