Let the point O represent 0 on the number line.
We place a point A on the number line such that OA = 1 units.
Now, we draw AB perpendicular to OA at point A such that AB = 1unit.
By Pythagoras’ Theorem, we know that,
OB2 = OA2 + AB2
⇒ OB2 = 1 + 1 = 2
⇒ OB = √2
Now, we draw BC perpendicular to OB at point B such that BC = 1unit.
Again, by Pythagoras’ Theorem, we know that,
OC2 = OB2 + BC2
⇒ OC2 = 2 + 1 = 3
⇒ OC = √3

Now, taking O as a centre and OC as the radius, an arc is drawn which intersects the number line at P.
∴ OP = √3 units
Hence, Point P represents √3
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