1. Understanding the Concept of Square Root:
To locate √3 on a number line, it is important to have a clear understanding of what a square root is. In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, since 3 multiplied by 3 equals 9.

2. Introduction to Number Line:
A number line is a straight line that represents all real numbers, both positive and negative. The number line is divided into segments or intervals, with zero at the center. Moving to the right of zero, the numbers increase, while moving to the left, the numbers decrease.

3. Locating Square Root of 3 on a Number Line:
To locate √3 on a number line, we can follow these steps:

a. Start by drawing a number line with zero at the center.
b. Identify the interval between 1 and 2 on the number line.
c. Divide this interval into equal parts.
d. Since √3 is between 1 and 2, it will lie within this interval.
e. To estimate the position of √3 more accurately, divide the interval into smaller parts.
f. Continue dividing until the desired level of precision is achieved.
g. √3 will be located between two consecutive divisions on the number line.

4. Visual Representation:
Below is a visual representation of locating √3 on a number line:

```
-2 -1 0 1 2 3 4 5 6
|---|---|---|---|---|---|---|---|
√3
```

In this representation, √3 lies approximately between 1.7 and 1.8, closer to 1.7.

5. Conclusion:
By following the steps mentioned above, we can locate √3 on a number line. The process involves dividing the interval between 1 and 2 into smaller parts until the desired precision is achieved. This visual representation helps us understand the position of √3 relative to other numbers on the number line.

Located √3 on a number line?