Question

how to plot root 5 on number line you can send me the image

Answer 1

I hope it will help you.

Answer 2

we draw a number line and mark the integers −2, −1, 0, 1, 2, 3, 4, etc. on it, so that the distance between any two consecutive integers is one unit. On this number line, we mark O and A at the points 0 and 2 respectively. At A, we draw AB of unit length which is perpendicular to OA. Now, we join OB. Taking O as the centre and OB as the radius, we will draw an arc which cuts the number line at P.

Now, point P represents the irrational number on the number line. Let us verify it.

Using Pythagoras theorem in ΔOAB,

OB2 = OA2 + AB2

= 22 + 12

= 4 + 1

= 5