Question

Show how v5 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).

( OB)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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