how to represent root 5 on number line?
We draw a number line and write the consecutive numbers as shown.
Mark O at zero. Root 5 lies between 2 and 3. Mark a point A on +2 and draw a perpendicular from it, which is equal to 1 unit. Then mark this point B. Now draw an arc with AB as radius which cuts the numberline at P. Point P is root 5. Now according to hypotenuse theorem, OB will be equal to root 5 units. I will tell you how.
OB2=OA2+AB2
= 22+12
=4+1
=5
OB=root 5.
Hope you understand!
Regards
Deepanjali