Question

represent √10 on the real line​

Answer 1

Step-by-step explanation:

We can do it by using Pythagoras Theorem.

 

We can write √10 as follows:

√10=√9+1

√10=√3²+1²     

The construction steps are as follows:

1. Take a line segment AO=3 unit on the x-axis.   (consider 1 unit = 2 cm)   

2. Draw a perpendicular on O and draw a line OC=1 unit 

3. Now join AC with √10. 

4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.

5. The line segment AC in the below diagram represents √10 units.