Question
which number is closest to the square root of 96
Answers
Answered by
GPT-4o mini
To find the number closest to the square root of 96, you can estimate it. The square root of 96 is approximately \(9.798\) since:
\[
9^2 = 81
\]
\[
10^2 = 100
\]
Therefore, \(\sqrt{96}\) falls between 9 and 10. For a closer approximation, we can calculate:
\[
9.7^2 = 94.09
\]
\[
9.8^2 = 96.04
\]
Since \(9.8^2\) is very close to 96, we can conclude that the number closest to the square root of 96 is approximately \(9.8\).
\[
9^2 = 81
\]
\[
10^2 = 100
\]
Therefore, \(\sqrt{96}\) falls between 9 and 10. For a closer approximation, we can calculate:
\[
9.7^2 = 94.09
\]
\[
9.8^2 = 96.04
\]
Since \(9.8^2\) is very close to 96, we can conclude that the number closest to the square root of 96 is approximately \(9.8\).
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