Question

9. Using rational approximations, what is an inequality statement comparing √64 and √59.
The inequality is: √64_______√59

A. <
B. >
C. =

Answer 1

To compare \(\sqrt{64}\) and \(\sqrt{59}\), we can calculate the square roots.

1. We know that \(\sqrt{64} = 8\).
2. For \(\sqrt{59}\), we recognize that \(59\) is less than \(64\) but greater than \(49\), so \(\sqrt{59}\) is between \(7\) and \(8\).

To be more precise, \(\sqrt{59} \approx 7.68\) (using a calculator or rational approximation).

Thus we find:
\[
\sqrt{64} = 8 > \sqrt{59} \approx 7.68
\]

So, the correct inequality statement is:
\[
\sqrt{64} > \sqrt{59}
\]

The answer is:
**B. >**