Question

show how root 5 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 =OA² +AB²

OB ²=(2)² +1²=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.