To compare \( \sqrt{81} \) and \( \sqrt{8} \):
First, we compute \( \sqrt{81} \):
\[ \sqrt{81} = 9 \]
Next, we compute \( \sqrt{8} \):
\[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2} \]
Now, we need to find the approximate value of \( \sqrt{2} \):
\[ \sqrt{2} \approx 1.414 \]
Then,
\[ 2\sqrt{2} \approx 2 \times 1.414 \approx 2.828 \]
Now, we compare the values:
\[ 9 \text{ (from } \sqrt{81}\text{) } > 2.828 \text{ (from } \sqrt{8}\text{)} \]
Thus, the inequality is:
\[ \sqrt{81} > \sqrt{8} \]
The inequality statement comparing \( \sqrt{81} \) and \( \sqrt{8} \) is:
\[ \sqrt{81} > \sqrt{8} \]
So, the final answer is:
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