To evaluate the inequality \( \sqrt{81} > \sqrt{88} \), we first calculate the square roots of both numbers.
- \( \sqrt{81} = 9 \)
- \( \sqrt{88} \) can be simplified but is approximately equal to \( 9.38 \) since \( \sqrt{88} \) simplifies to \( \sqrt{4 \times 22} = 2\sqrt{22} \).
Now we compare the two values:
- \( 9 > 9.38 \) is false.
Thus, the statement \( \sqrt{81} > \sqrt{88} \) is not true. Instead, we have:
\[ \sqrt{81} < \sqrt{88} \]