represent 13 square root on the number line 

Asked by Rajesh | 17th Sep, 2014, 08:37: PM

Expert Answer:

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
OD2 = 9 + 1 = 10
OD = square root of 10

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
OE = square root of 11

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,
OG= OH+ GH2
OG = square root of 12

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,
OI= OJ+ JI2
OI = square root of 13= OL

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

The point L represents square root of 13on the number line.

Answered by Dharma Teja | 18th Sep, 2014, 10:34: AM