how will we plot root 5 and root 7 on the number line?
We know that,
And, 
Mark a point ‘A’ representing 2 on number line. Now, construct AB of unit length perpendicular to OA. Then, taking O as centre and OB as radius, draw
an arc intersecting number line at C.
C is representing
.
representation of root 7 on number line
Draw a number line (l) and mark the points O, A and B such that OA = AB = 1. Draw BC⊥ l such that BC = 1 units. Join OC
In right ∆OBC,
.png)
.png)
.png)