Question

Which point on the number line best represents the value of 11−−√?

a) -3
b) 0
c) 2
d) 4

Answer 1

The value of √11 is greater than 3 but less than 4, so it should be represented as a point between 3 and 4 on the number line.

Step-by-step explanation:

To find which point on the number line best represents the value of √11, we need to determine which perfect squares are closest to 11 and where 11 falls between them. The perfect square less than 11 is 9, which is √9 = 3, and the next perfect square greater than 11 is 16, which is √16 = 4. Since 11 is closer to 9 than to 16, √11 is slightly greater than 3 but less than 4 on the number line. Thus, the point that best represents the value of √11 is between 3 and 4.