Question

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

between 10.5 and 11
between 10.5 and 11

between 10 and 10.5
between 10 and 10.5

between 11 and 11.5
between 11 and 11.5

between 9.5 and 10

Answer 1

between 10 and 10.5

Reason: 10^2 = 100 < 105 and 10.5^2 = 110.25 > 105, so sqrt(105) lies between 10 and 10.5.