Using a number line, what is the approximate value of 39−−√?

1) 6.42
2) 6.33
3) 6.25
4) 6.17

1 answer

To solve this problem, let's approximate the square root of 39 using a number line:

Starting with the number line, let's draw a line from 0 to 6 and then from 6 to 6.1 (a small increment).

0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10
| | | | |
6.1 6.2 6.3 6.4 6.5

Since 6.17 is smaller than 6.2, it will be closer to 6.1.

Therefore, the approximate value of √39 is 6.1