Question

Represent $\sqrt{3.2}$geometrically on the number line.

Answer 1

Draw a line segment AB = 3.2 units and extend it to C such that BC = 1 unit.
Now, find the midpoint O of AC.
Taking O as the centre and OA as the radius, draw a semicircle.
Now, draw BD ⊥ AC, intersecting the semicircle at D.
Here,
BD = $\sqrt{3.2}$ units
Taking B as the centre and BD as the radius, draw an arc meeting AC produced at E.
Thus, we have:
BE = BD = $\sqrt{3.2}$ units