using a number line, what whole number and rational number to the nearest half is \sqrt(58) between?

Answer 1

To find the whole number and rational number to the nearest half that \(\sqrt{58}\) is between, let's first simplify \(\sqrt{58}\):

\(\sqrt{58} \approx 7.61577\)

Now, let's identify the whole number and rational number to the nearest half that \(\sqrt{58}\) is between.

Whole number: The whole number that \(\sqrt{58}\) is between is 7.

Rational number to the nearest half: Since the number after the decimal point is closer to 0.5 than 1, the rational number to the nearest half that \(\sqrt{58}\) is between is 7.5.

So, \(\sqrt{58}\) is between 7 and 7.5 on the number line.