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,
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.