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To compare \(\sqrt{42}\) and \(\sqrt{58}\), we can calculate their approximate values:
- The square root of 42 is approximately:
\[
\sqrt{42} \approx 6.48
\]
- The square root of 58 is approximately:
\[
\sqrt{58} \approx 7.62
\]
Now, we can find the difference between these two values:
\[
\sqrt{58} - \sqrt{42} \approx 7.62 - 6.48 = 1.14
\]
This difference can be rounded to one decimal place, giving us approximately 1.1.
Among the given options, the closest statement to our calculation is:
**58−−√ is about 1.2 greater than 42−−√. square root of 58 is about 1.2 greater than square root of 42.**