Question

show how root 5 can be represented on no line

Answer 1

Locating √5 on number line :



Here 5 = 2² + 1¹

..............[ See the attached image (I) √5 ]..........

So, draw a line a right angled OAB, in which OA = 2 units and angle OAB = 90°

By using Pythagoras theorem, we get



Taking OB = √5 as radius and point Pad centre, draw an arc which meets the number line point P on the positive side of it.

Hence, it is clear that point P represents √5 on the number line.