Question
Represent $\sqrt{10.5}$ on the number line.
✓
Answer
Draw a line segment OB = 10.5 units and extend it to C such that BC = 1 unit.
Find the midpoint D of OC.
With D as centre and DO as radius, draw a semicircle.
Now, draw $\text{BE}\perp\text{AC},$ intersecting the semicircle at E.
Then, $\text{BE}=\sqrt{10.5}\ \text{units}.$
With B as centre and BE as radius, draw an arc, meeting AC produced at F.
Then, $\text{BF}=\text{BE}=\sqrt{10.5}\text{units}.$
Find the midpoint D of OC.
With D as centre and DO as radius, draw a semicircle.
Now, draw $\text{BE}\perp\text{AC},$ intersecting the semicircle at E.
Then, $\text{BE}=\sqrt{10.5}\ \text{units}.$
With B as centre and BE as radius, draw an arc, meeting AC produced at F.
Then, $\text{BF}=\text{BE}=\sqrt{10.5}\text{units}.$
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