Question

Represent 5/√7 on number line With step by step.​

Answer 1

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.

solution

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Answer 2

Answer:

First, we have to draw √5 on the number line.

1. Draw a number line and mark 0, 1, 2, 3, ....etc.

2. Mark 0 as point O and 2 as B.

3. Now from B, draw a perpendicular AB of length 1 unit.

4. Join OA. Take OA as radius and draw an arc which cuts the number line at P.

The point P represents √5 on the number line.

5. Again From A, draw a perpendicular AC of length 1 unit.

6. Join OC. Take OC as radius and draw an arc which cuts the number line at Q.

The point Q represents √6 on the number line.

7. Again From C, draw a perpendicular CD of length 1 unit.

8. Join OD. Take OD as radius and draw an arc which cuts the number line at R.

The point R represents √7 on the number line.

The figure is given below: