Represent √9.3 on the number line.

To represent √9.3 on the number line, draw AB = 9.3 units. Now produce AB to C, such that BC = 1 unit. Draw the perpendicular bisector of AC which intersects AC at 0. Taking O as centre and OA as radius, draw a semi-circle which intersects D to the perpendicular at B. Now taking 0 as centre and OD as radius, draw an arc, which intersects AC produced at E. Hence, OE = √9.3.