How do draw root 5 on number line?
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We can locate n for any positive integer n, after n − 1 has been located.
We can write √5 in Pythagoras form:
= √(4 + 1) = √(22 + 1)
Construction:
Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.
Draw a perpendicular on B and construct a line BC = 1 unit length.
Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.
The line segment AC represents √5 units.
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