Question

how to express root 3 on a number line?

Answer 1

Draw a line segment AB of length 3 units

Extend the line 1 unit more such that BC = 1 units

Find the midpoint of AC

Draw semicircle with center 0 and radius 0C

Draw a line BD perpendicular to AB, intersecting the semicircle at point D Here BD = √9.5 to represent it in number line draw a are DE such that BE= BD

Here BE is our required line
You can do it same on a number line taking B as 0.