Question

show how √5 can be resprested on number line​

Answer 1

Answer:

Step-by-step explanation:

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.

Hope this helps.

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Answer 2

Answer:

Draw perpendicular AX at A on the number line and cut-off arc AB=1unit. 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.