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1cm or 2cm can be painted or be measured by ruler.
But how to measure √2cm or √3cm?Which rang it is in?
First ,we generally use calculator to get a fugure.Secondly,we round it.Thirdly,we measure it.Finally we paint it.But if we do so,the veracity is reduced severely.Based on above,we can make use of the pythagoras theorem to desugn a ruler which can be use measure irrational number.If we know the equation,we can measure the figure,which greatly improve the accuracy.
XI`AN UNIVERSITY OF SCIENCE AND TECHNOLOGY