Question

3. Show how root5 can be represented on the number line.​

Answer 1

Draw number line as shown in the figure. Let the point O represent 0(zero) and point A represents 2. Draw perpendicular AX at A on the number line and cut-off arc AB=1unit.

We have OA=2 units and AB=1unit

Using pythagoras theorem, we have,

OB

2

=OA

2

+AB

2

OB

2

=(2)

2

+1

2

=5

OB=

5

Taking O as the centre and OB=

5

as radius draw an arc cutting real line at C. Clearly, OC=OB=

5

.

Hence, C represents

5

on the number line.