Represent Some Irrational Numbers On the Number Line

1. With the help of screw, fix the perpendicular wooden strip at 1, which is 1 unit on horizontal scale.
   2. Tie the other end of the thread to unit 1 on the perpendicular strip.
   3. Remove the thread from unit 1 on the perpendicular strip and place it on the horizontal strip to represent 2 on the horizontal strip.
   AOAB is a right angled triangle.
   So, from Pythagoras theorem, OB? = OA? + АВ=
   Here, OA = 1 unit, AB = 1 unit,
   OB? = (1)2 + (1)2=> OB? =2 => OB = /2 Similarly, to represent V3, fix the
   perpendicular wooden strip at 2 and repeat the above process.
   Thus, we conclude to represent va, a > 1 fix the perpendicular scale at Va - 1 and proceed as above to get va.
   Note: To find Va such as V13 by fixing the perpendicular strip at 3 on the horizontal strip and tying the other end of thread at 2 on the vertical strip.

\cos\left(2x-1\right)