Number Systems — Question 7

Steps:

1. Draw a line and take AB = 9.3 units on it.
2. From B, measure a distance of 1 unit and mark C on the number line. Mark the midpoint of AC as O.
3. With 'O' as center and OC as radius, draw a semicircle.
4. At B, draw a perpendicular to cut the semicircle at D.
5. With B as center and BD as radius draw an arc to cut the number line at E. Thus, taking B as origin the distance BE = $\sqrt{9.3}$

Hence, point E represents $\sqrt{9.3}$ on the number line.