Question
Find two consecutive whole numbers that \( \sqrt{18} \) lies between. \( \square \) and \( \square \)
Ask by Chen Pollard. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \sqrt{18} \) lies between 4 and 5.
Solution
To find two consecutive whole numbers between which \( \sqrt{18} \) lies, follow these steps:
1. **Identify Perfect Squares Around 18:**
- \( 4^2 = 16 \)
- \( 5^2 = 25 \)
2. **Determine the Range:**
- Since \( 16 < 18 < 25 \), it follows that:
\[
4 < \sqrt{18} < 5
\]
3. **Conclusion:**
- The two consecutive whole numbers are **4** and **5**.
\[
\boxed{4 \text{ and } 5}
\]
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The Deep Dive
The square root of 18 is a little more than 4 but less than 5, because \(4^2 = 16\) and \(5^2 = 25\). Thus, the two consecutive whole numbers that \( \sqrt{18} \) lies between are \( 4 \) and \( 5 \). So, \( 4 \) and \( 5 \) are your answer!