Question
Between which two consecutive integers does \( \sqrt{54} \) lie?
Ask by Kelly Pollard. in South Africa
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \sqrt{54} \) lies between 7 and 8.
Solution
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Bonus Knowledge
To find the two consecutive integers between which \( \sqrt{54} \) lies, we can start by calculating the square of consecutive integers around \( \sqrt{54} \). Calculating \( 7^2 \) gives us \( 49 \), and \( 8^2 \) gives us \( 64 \). Since \( 49 < 54 < 64 \), we can conclude that \( \sqrt{54} \) lies between \( 7 \) and \( 8 \). Thus, \( \sqrt{54} \approx 7.35 \), which confirms that the two consecutive integers are \( 7 \) and \( 8 \).
