Using rational approximations, what is the correct inequality statement comparing √81 and √88? Enter <, >, or =.

Question

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(1 point)


The inequality is: √81
√88.

Answer 1

To compare \( \sqrt{81} \) and \( \sqrt{88} \), we can first calculate the values:

\[ \sqrt{81} = 9 \] \[ \sqrt{88} \approx 9.38 \quad (\text{since } \sqrt{88} \text{ is slightly less than } \sqrt{100}) \]

Now we compare the two values:

\[ 9 < 9.38 \]

Thus, we can conclude that:

\[ \sqrt{81} < \sqrt{88} \]

So the correct inequality statement is:

\[ \sqrt{81} < \sqrt{88} \]