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Find two consecutive whole numbers that \( \sqrt{18} \) lies between. \( \square \) and \( \square \)

Ask by Chen Pollard. in the United States
Jan 24,2025

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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!

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