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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,

OD2 = OC2 + CD2

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,

OE2 = OF2 + EF2

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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