Question

Represent geometrically the following numbers on the number line :
√4.5,√5.6 ,√8.1 ,√2.3
​

Answer 1

Given: An irrational number √4.5,√5.6 ,√8.1 ,√2.3

To find: Represent it on a number line?

Solution:

• So we have to represent √4.5,√5.6 ,√8.1 ,√2.3 on a number line, so lets consider the first one, i.e. √4.5

• Let AB = 4.5 units and BC= 1 unit.

• Now following are the steps to create a diagram:

        1. Draw AB = 4.5 units and extend it to C such that BC=1 unit.

        2. Now try to find the midpoint of AC. Let the mid point be O.

        3. Now consider O as center of circle and OA be the radius, construct a semicircle which further meets at point C.

         4. Construct a perpendicular on B which further meets the semicircle at point D.

         5. Now consider B as center of circle and let BD be the radius construct an arc which meets XY at E.

• And finally we have:

          BD = BE = √4.5

• So similarly, we can find √5.6 ,√8.1 ,√2.3 by following the same steps.

Answer:

             So from above steps we can represent √4.5,√5.6 ,√8.1 ,√2.3 on a number line.