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## Answers

:.we can construct √8 as the length of the hypotenuse of a right triangle whose sides are of lengths 2 and 2.

let ox be a number line on which o represents 0 and A represents 2 unit length.draw a line AB perpendicular to O A and mark B on it so that AB =2.

Then,

OB square =O A square+AB square

=2 square +2 square=4+4=8

__Now mark a point P on OX to the right of O such that OP=OB__

Then P represents the irrational number √8