Plot two points that represent the consecutive integers that the value of square root of 21 lies between.

Question

just a number line that goes from 0 to 20

Answer 1

To plot the points representing the consecutive integers that the square root of 21 lies between, we first need to determine those integers.

The square root of 21 is approximately 4.58. Therefore, the consecutive integers that this value lies between are 4 and 5.

Here's how you can represent it on a number line from 0 to 20:

0----1----2----3----4----5----6----7----8----9----10----11----12----13----14----15----16----17----18----19----20
                 ●                                ●
                (4)                              (5)

In this representation:

• The dot (●) at 4 represents the integer below the square root of 21.
• The dot (●) at 5 represents the integer above the square root of 21.
• The square root of 21 lies between these two points.