Question

Show how under root 5 can be represented on the number line.​

Answer 1

10❤️= Inbox

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,

$OB2=OA2+AB2</p><p></p><p>OB2=(2)2+12=5</p><p></p><p>OB=5</p><p></p><p></p><p>$

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.