represent 2 + root 3 on a number line

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,

BD^{2} = BC^{2} + CD^{2} = 1^{2} + 1^{2} = 1 + 1 = 2

Draw DE ⊥ BD such that DE = 1 units. Join BE.

In right ΔBDE,

BE^{2} = BD^{2} + DE^{2}

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.

**
**