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To compare \(\sqrt{81}\) and \(\sqrt{88}\), we can first compute the square roots:
\[
\sqrt{81} = 9
\]
Now, we can estimate \(\sqrt{88}\). Knowing that \(88\) is close to \(81\) and \(100\), we can find:
\[
\sqrt{88} \approx 9.38
\]
(We can confirm this by noting that \(9.3^2 = 86.49\) and \(9.4^2 = 88.36\), which implies that \(9.3 < \sqrt{88} < 9.4\)).
Thus, we have:
\[
\sqrt{81} = 9 < \sqrt{88} \approx 9.38
\]
So, we have the inequality:
\[
\sqrt{81} < \sqrt{88}
\]
The complete statement is:
\[
\sqrt{81} < \sqrt{88}
\]
Therefore, the answer is:
\(<\)