Question

show how √5 can be represented on the number line
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Answer 1

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 unit

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Answer 2

Hii mate your answer is .

First method ,

Step by Step

First you Draw a horizontal line X' OX ,taken as the x-axis.

Take O as the origin to represent 0 .

Let OA = 2units and let AB perpendicular OA such that AB =1unit .

Join OB . Then ,

OB =√OA^+AB^ =√2^ +1^ = √5.

And second method .

By Pythagoras theorem ,

Take a line segment OB = 2 unit
(Consider 1unit = 2cm) on X-axis
Draw a perpendicular line BC at OB Construct a line OA 1 unit length .

Join OC which will be √5 (Pythagoras theorem ) Take O as center and OC is radius draw and which cuts the X -axis at point C .

then line segment OB represent √5 .

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