Question

represent √10 on the number line​

Answer 1

Answer:

 

We can do it by using Pythagoras Theorem.

We can write √10 = √(9 + 1)

=> √10 = √(32 + 1)                  

Construction

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

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 represents √10 units.