Introduction:
Representing irrational numbers on a number line is a common way to visualize them. In this question, we will show how the irrational number underoot 5 can be represented on a number line.

Method:
To represent underoot 5 on a number line, we will follow the steps below:

1. Draw a horizontal number line and mark a point as 0.
2. Mark another point as 1 to the right of 0.
3. Draw a line perpendicular to the number line at point 1.
4. Mark a point on this perpendicular line at a distance of underoot 5 units from point 1.
5. Label this point as underoot 5.

Explanation:
Underoot 5 is an irrational number that lies between the integers 2 and 3. To represent it on a number line, we start by drawing a horizontal line and marking a point as 0. We then mark another point as 1 to the right of 0. This represents the integer 1.

Next, we draw a line perpendicular to the number line at point 1. This line represents the square root of 5 units. To find the length of this line, we use the Pythagorean theorem:

a^2 + b^2 = c^2

Here, a = 1 unit, b = underoot 5 units, and c = the length of the perpendicular line. We can solve for c as follows:

1^2 + underoot 5^2 = c^2
1 + 5 = c^2
6 = c^2
c = underoot 6 units

We then mark a point on this perpendicular line at a distance of underoot 5 units from point 1. This point represents underoot 5 on the number line.

Conclusion:
In conclusion, underoot 5 can be represented on a number line by drawing a perpendicular line at point 1 and marking a point on this line at a distance of underoot 5 units from point 1. This point represents the irrational number underoot 5.