Question

locate √10 on the number line​

Answer 1

Answer:

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Answer 2

Answer:

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.