Question

How to represent $\sqrt{9.3}$ on number line.

Answer 1

Steps of construction:
Draw a line segment AB = 9.3 units and extend it to C such that BC = 1 units.
Find the midpoint O of AC.
With O as centre and OA as radius, draw a semicircle.
Now, draw $BD\perp AC$, intersecting the semicircle at D
Then, $BD=\sqrt{9.3}$ units
With B as centre and BD as radius, draw an arc meeting AC produced at E.
Then, $BE=BD=\sqrt{9.3}$ units