Question
Represent geometrically the following numbers on the number line:
$\sqrt{2.3}$
$\sqrt{2.3}$
✓
Answer
Firstly, we draw a line segment AS = 2.3 units and extend it to C such that SC = 1 unit. Let O be the mid-point of AC. Now, draw a semi-circle with centre 0 and radius OA. Let us draw BD perpendicular to AC passing through point 6 and intersecting the semi-circle at point D. Hence, the distance BD is $\sqrt{2.3}\text{ units.}$ Draw an arc with centre 6 and radius BD, meeting AC produced at E, then BE = BD $=\sqrt{2.3}\text{ units.}$
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