https://file.aiquickdraw.com/mathbot/file/17295655616716egsh8xr.jpg

Let's evaluate each statement one by one.

1. **The \(\sqrt{89}\) is smaller than 9.**
   - \(\sqrt{89} \approx 9.434\)
   - This value is greater than 9, so this statement is **false**.

2. **The \(\sqrt{225}\) is greater than 15.**
   - \(\sqrt{225} = 15\)
   - This value is equal to 15, not greater than 15, so this statement is **false**.

3. **The \(\sqrt{69}\) is between 7 and 8.**
   - \(\sqrt{69} \approx 8.306\)
   - This value is not between 7 and 8, so this statement is **false**.

4. **The \(\sqrt{145}\) is between 12 and 13.**
   - \(\sqrt{145} \approx 12.041\)
   - This value is indeed between 12 and 13, so this statement is **true**.

Thus, the correct answer Nicholas should choose is: **The \(\sqrt{145}\) is between 12 and 13**.

Would you like more details on how to calculate these square roots or have any further questions?

Here are 5 related questions:
1. What is the square root of 144?
2. How can you approximate the square root of non-perfect squares?
3. Why is \(\sqrt{225}\) exactly 15?
4. How can you calculate the square root of a number using a calculator?
5. What are the properties of square roots?

**Tip**: The square root of a number is the value that, when multiplied by itself, gives the original number.

Nicholas is working on his homework assignment. Which of these four statements should he choose as being true?
1. The √89 is smaller than 9.
2. The √225 is greater than 15.
3. The √69 is between 7 and 8.
4. The √145 is between 12 and 13.

Learn how to determine which statement about square roots is true. Explore approximations for √89, √69, and √145, and confirm exact values like √225. This problem covers important concepts of square roots and their properties, suitable for students in Grades 6-8.

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