Question
Represent geometrically the following numbers on the number line: $\sqrt{4.5}$
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Answer
Firstly, we draw a line segment $A B=4.5$ units and extend it to $C$ such that $B C=1$ unit. Let $O$ be the mid-point of $A C$. Now, draw a semi-circle with centre $O$ and radius $O A$ Let us draw $B D$ perpendicular to $A C$ passing through point $B$ and intersecting the semi-circle at point $D$. Hence, the distance $B D$ is $\sqrt{4.5}$ units. Draw an arc with centre $B$ and radius $B D$, meeting $A C$ produced at $E$, then $B E=B D=\sqrt{4.5}$ units.
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