Question

Using a number line, what whole number and rational number to the nearest half is 105−−−√
105
between?(1 point)
Responses

between 10 and 10.5
between 10 and 10.5

between 10.5 and 11
between 10.5 and 11

between 9.5 and 10
between 9.5 and 10

between 11 and 11.5

Answer 1

√105 ≈ 10.24695. Since 10^2 = 100 < 105 < 10.5^2 = 110.25, √105 is between 10 and 10.5.
Whole-number interval: between 10 and 11. Nearest half: 10.