Question
Represent geometrically the following numbers on the number line:
$\sqrt{5.6}$
$\sqrt{5.6}$
✓
Answer
Firstly, we draw a line segment $A B=5.6$ units and extend it to $C$ such that $B C=1$ unit. Let $O$ be the mid-point of AC.
Now, draw a semi-circte with centre $O$ and radius OA. Let us draw BD perpendicular to $A C$ passing through point $B$ and intersecting the semi-circle at point $D$.
Hence, the distance $B D$ is $\sqrt{5.6}$ units. units.
Draw an arc with centre $B$ and radius $B D$, meeting $A C$ produced at $E$, then $B E=B D=\sqrt{5.6}$ units.
Now, draw a semi-circte with centre $O$ and radius OA. Let us draw BD perpendicular to $A C$ passing through point $B$ and intersecting the semi-circle at point $D$.
Hence, the distance $B D$ is $\sqrt{5.6}$ units. units.
Draw an arc with centre $B$ and radius $B D$, meeting $A C$ produced at $E$, then $B E=B D=\sqrt{5.6}$ units.
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