Question

show how ✓7 can be represented on the number line ​

Answer 1

Step-by-step explanation:

Let O be the origin on the line l.

Let A be on the line such that OA=1.

Draw AB perpendicular to OA at A such that AB=1. Then

OB

2

=OA

2

+AB

2

=1

2

+1

2

=2 Thus OB=

2

.

With O as centre and OB as radius draw an arc cutting the line at C.

Then OC=OB=

2

Again draw CD prependicular to l such that CD=1. Then

OD

2

=OC

2

+CD

2

=2+1=3. Thus OD=

3

.