Question

represent root8.5 on number line geometrically

Answer 1

1.draw a line of 8.5 m(AB)
2.Extend the line to 1cm more.
   BC=1cm
    AC=(1+8.5)cm
3.Take O as the mid point of AC ie. 1/2×9·5
4. Taking o as the centre draw a semi-circle.
5.From the point B draw a prependicular(90°)
6.The perpendicular will meet the semi-circle at point D
7.BD will be equal to √8·5
8. fitting the nip of the compass on O and the pencil at D,draw an arc on the line which will be referred as point E
9.The measure from O to E is√8·5