Representation of Irrational Numbers on the Number Line
Represent the...
Question
Represent the value of √4.3 geometrically on number line.
Open in App
Solution
Draw a line segment AB = 4.3 units and extend it to C such that BC = 1 unit.
Find the midpoint O of AC by drawing the perpendicular bisector of AC.
With O as centre and OA a radius, draw a semicircle.
Now, draw BD perpendicular to AC, intersecting the semicircle the semicircle at D. Then, BD=√4.3 units.
With B as centre and BD as radius, draw an arc, meeting AC produced at E.
Then, BE=BD=√4.3 units