Question

how to draw root 12 in a line segment​

Answer 1

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

2. Draw a perpendicular on A and draw a line OB = 1 unit

3. Now join OB with √2

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

5. Hence, the line segment OE represents √2

6. Now, draw a perpendicular on B and draw a line BC = 1 unit

7. Now join OC with √3

8. Take O as center and OC as radius, draw an arc which cuts the x-axis at point F.

9. Hence, the line segment OF represents √3

10. Now, draw a perpendicular on C and draw a line CD = 3 unit

11. Now join OD with √12

12. Take O as center and OD as radius, draw an arc which cuts the x-axis at point G.

13. Hence, the line segment OG represents √12

So, in this way, we represent √12 on the number line.

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