Question

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

between 11 and 11.5
between 11 and 11.5

between 10.5 and 11
between 10.5 and 11

between 9.5 and 10
between 9.5 and 10

between 10 and 10.5

Answer 1

√105 ≈ 10.2469. Since 10^2 = 100 < 105 < 10.5^2 = 110.25, √105 is between 10 and 10.5. So it's between 10 and 11 (whole number) and between 10 and 10.5 (nearest half).