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Using a number line, what whole number and rational number to the nearest half is √58 between?

a.between 7.5 and 8

b.between 7 and 7.5

c.between 8.5 and 9

d.between 8 and 8.5

To determine which whole number and rational number to the nearest half √58 is between, we need to find two numbers on the number line that are closest to √58.

Calculating the square root of 58, it is approximately 7.6157.

To the nearest half, √58 would be between 7.5 and 8. Therefore, the correct option is:

a. between 7.5 and 8.

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

Using rational approximations, we can estimate that √81 is equal to 9 and √88 is approximately equal to 9.38.

Therefore, the inequality statement comparing √81 and √88 would be:

9 < 9.38