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Question
Represent geometrically the following number on the number line:
`sqrt(8.1)`
Solution
Draw a line segment such that AB = 8.1 units.
Mark C at a distance of 1 unit from B.
Mark O is the mid-point of AC.
Draw a semicircle with centre O and radius OC.
Draw a line perpendicular to AC, passing through B and intersecting the semicircle at D.
Now, BD = `sqrt(8.1)`.
Draw an arc with centre B and radius BD, meeting AC produced at E.
Then BE = BD = `sqrt(8.1)` units.
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