Using a number line, what is the approximate value of 39−−√?
1) 6.42
2) 6.33
3) 6.25
4) 6.17
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
To approximate the value of 39−−√ using a number line, we can start by finding the square root of 39.
On a number line, we can first locate the nearest perfect square that is less than or equal to 39. In this case, it is 36 (which is 6^2).
Next, we divide the number line segment between 36 and 39 into 10 equal parts. This will help us estimate the position of the square root of 39.
Since the square root of 39 is closer to the right end of the segment, we can estimate its value to be around 6.3.
Out of the given options, the closest approximation is 6.33 (option 2).