locate √3 number on line
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Answer:
Step-by-step explanation:
Construct BD of 1 unit length perpendicular to OB as fig. Join OD
By Pythagoras theorem, OD=
(
2
)
2
+1
2
=
2+1
=
3
Using a compass, with centre O and radius OD, draw an arc which
intersects the number line at the point L right side to 0. Then
′
L
′
corresponds to
3
. From this we can conclude that many
points on the number line can be represented by irrational numbers also.
In the same way, we can locate
n
for any positive integers n, after
n−1
has been located.
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