Question

Represent √5
on the 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

5on the number line.

Hope this helps you

Answer 2

Answer:  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=  $\sqrt5$

Taking O as the centre and OB=  $\sqrt{5$ as radius draw an arc cutting real line at C. Clearly, OC=OB= $\sqrt{5$

Hence, C represents   $\sqrt5$ on the number line.

Step-by-step explanation: