Question

represent b√5 on 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,

OB2=OA2+AB2

OB2=(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.