To find the whole number and the rational number nearest to 58−−√, we can start by representing 58−−√ on a number line.
Since 58 is closer to 59 than to 57, let's start by locating 59 on the number line.
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Now, let's consider the numbers between 59 and 60. We can divide this region in half, and find the midpoint. The midpoint between 59 and 60 is 59.5.
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59.5
Since we are looking for the number nearest to 58−−√, the whole number closest to 58−−√ is 59 (as it is closer than 60), and the rational number nearest is 59.5.
Therefore, the whole number and rational number closest to 58−−√ is 59 and 59.5, respectively.