Representing √5 on the Number Line
Understanding Real Numbers:
Real numbers are the set of all rational and irrational numbers. They can be represented on a number line, which is a horizontal line with numbers marked at equal intervals.

What is √5?
The square root of 5, denoted as √5, is an irrational number that is approximately equal to 2.23607. It cannot be expressed as a simple fraction and its decimal representation goes on indefinitely without repeating.

Locating √5 on the Number Line:
To represent √5 on the number line, we need to approximate its value. Since √4 = 2 and √9 = 3, we know that √5 lies between 2 and 3.

Steps to Represent √5 on the Number Line:
- Begin by marking points 2 and 3 on the number line.
- Since √5 is closer to 2 than 3, estimate a point between 2 and 3.
- To get a more accurate representation, divide the segment between 2 and 3 into smaller intervals.
- Continue dividing and estimating until you reach a point that closely represents √5.

Final Representation:
By following the steps above, you can accurately represent √5 on the number line. Remember that since √5 is irrational, its exact position cannot be pinpointed but can be approximated by choosing a suitable interval on the number line.