Question

how to represent root 10 on number line

Answer 1

In this way you can represent √1 to √10 on numberline

Answer 2

Answer:

To locate $\sqrt 10$ on number line follow the below steps

Step 1 :Let we consider 3 cm=1 unit.

Step 2:  $OB^2=OA^2+AB^2$

$OB^2=3^2+1^2\\\\OB^2=10\\\\OB = \sqrt 10$

OA=AB=OC=1 unit

Step 3: By considering O as centre and also as radius draw an arc.

Step 4:  Draw a line which is perpendicular from C of one unit an $\sqrt 10=\sqrt 3+1$ and name that point as C.

Step 5:  Join the point O and C it forms a triangle by Pythagoras Theorem.

OC=$\sqrt 10$

Step 6:  Now take the radius as OC, draw an arc touching the number line

And that point will be the number line of $\sqrt 10$