Question
Represent geometrically the following numbers on the number line: $\sqrt{8.1}$
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Answer
Firstly, we draw a line segment $A B=8.1$ units and extend it to $C$ such that $S C=1$ unit. Let $O$ be the mid-point of $A C$. Now, draw a semi-circle with centre $0$ and radius $OA$. Let us draw $BD$ perpendicular to $AC$ passing through point $6$ intersecting the semi-circle at point $D$. Hence, the distance $B D$ is $\sqrt{8.1}$ units. Draw an arc with centre Sand radius $B D$, meeting $A C$ produced at $E$, then $B E=B D=\sqrt{8.1}$ units.
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