Question

represent 5 root 2 and 2 +root 5 on the number line

Answer 1

First, draw a line segment of length 5 cm from the origin at an angle of 45° with the x-axis. Then, draw another line segment of 5 cm length at an angle of 90° to the previous one such that it touches the x-axis. The point from where you started to the point where you end will be of the length 5 root 2 cm.

I have said x-axis because the number line is usually considered and drawn horizontal.