Question

Represent root 8.3 on the number line

Answer 1

See the diagram.

Draw AD a horizontal line.  The n draw AB' perpendicular to AD at A using tool or standard procedure. Draw an arc of radius 1.4 units to cut AB'. So AB = 1.4.  Now draw an arc from B to cut AD at C, with a radius = 3.2 units.. So BC = 3.2.  Now AC = √8.28.

Now, Draw CE perpendicular to AD at C.  Draw CF as bisector of angle at C.  Draw an arc of radius 0.2  units to cut CF at G.  Now draw a horizontal line from G parallel to AD and perpendicular to CE. It cuts CE at H.

Now  CH will be  √0.02.  Now join  AH.  It will be  √8.30.

Draw an Arc with A as center, and AH as radius to cut AD  at  I.  Then AI will be equal to  √8.30  on the real  number  line.