how to represente root 13 on a number line

Draw a number line (*l*) and mark the points O, A, B and C such that OA = AB = BC = 1

Draw CD ⊥ *l,* such that CD = 1 units.

Join OC

In right ΔOCD,

OD^{2} = OC^{2} + CD^{2}

Taking O as centre and D as radius, draw an arc which cuts *l* in F

Now, draw EF ⊥ *l, *such that EF = 1 units

Join OE'

In right ΔOEF,

OE^{2} = OF^{2} + EF^{2}

Taking O as centre and OE as radius, draw an arc which cuts* l *in H

Now, draw GH ⊥* l*, such that GH = 1 units

Join OG

In right ΔOGH,

Taking O as centre and OG as radius, draw an arc which cuts *l* in J.

Now, draw IJ ⊥ *l*, such that IJ = 1 units

Join OI,

In right ΔOIJ,

Taking O as centre and OI as radius, draw an arc which cuts *l* in L.

The point L represents on the number line.

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