1.

Represent geometically the following numbers on the number line sqrt4.5

Answer»

`sqrt4.5`
`sqrt5.6`
`sqrt8.1`
`sqrt2.3`

Solution :(i) firslty, we draw a line segmentAB = 4.5 UNITS and extend it to C such that BC = 1 unit, let O be the mid - point of AB.
Now, draw a semi-circule with CENTRE O and radius OA. Let us draw BD prependicular to AC passing through point B and intersecting the semi-cricule at point D.
Hencethe distance `BD is sqrt45` units.
Draw an arc with centre B and radius BD, meeting AC produced at E , then
`BE= BD= sqrt4.5 ` units.

(ii) Firstly, we draw a line segment AB=5.6 units and extendit to C such that BC= 1 units. Let O be the mid point of AC.
Now, draw a semi- cicule with centre O and radius OA. Let us draw BD perpendicular to AC passing through point B and intersecting the semi-cirule at point D.
Hence, the distance BD is `sqrt5.6` units.
Draw an arc with centre N and radius BD, meeting AC produced at E, then `BE = BD = sqrt5.6` units.

(iii) Fistly, we, draw a line segment AB = 8.1 units and extend to Csuch that BC = 1 unit LetO be the mid - POINTS of AC.
Now, draw a semi-circle with centre O and radius OA.
Let us draw BD prependicular to AC passing through point B intersecting the semi-circle at point D.
Hence, the distance BD is `sqrt8.1` units.
Draw an arc with centre B and radius BD, meeting AC produced at E, then
`BE=BD=sqrt8.1` units.

(iv) Firstly, we draw a line segment AB = 2.3 units and extend it to C such that BC=1 units , let O be the mid -point of AC.
Now, draw a semi-circule with centre O and radius OA.
let, us draw BD perpendicularto AC passing through point B and intersecting the semi-cricle at pointD.
Hence the distance BD is `sqrt2.3` units.
Draw, an arc with centre BD , meeting AC produced at E then
`BE = BD= sqrt2.3` units.


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