To represent on the number line l, firstly mark the points O, A, B and C on l such that OA = AB = BC = 1.
Draw CD ⊥ l such that CD = 1 unit. Join BD.
In right ΔBCD,
BD2 = BC2 + CD2 = 12 + 12 = 1 + 1 = 2
Draw DE ⊥ BD such that DE = 1 units. Join BE.
In right ΔBDE,
BE2 = BD2 + DE2
Taking B as centre and BE as radius, draw an arc which intersects l in F.
Here, OB = 2 and
OF = OB + BF =
So, the point F represents on the number line.