Question

Represent√5.2 on the number line

Answer 1

represent √5.2 on number line

draw the number line

Solution: mark the point A on -5.3 on the number line

And mark a point B on 1on the number line

Draw perpendicular bisector of A&B which cuts number line at M

draw a semi circle taking M as center & MA=MB radius

Draw a perpendicular at MO (O being 0)

which intersect draw semicircle at C

taking I as center & compass width= OC

draw an arc on right side of zero intersecting number line at P

P is √5.2 on number line

Verification

AB=5.2+1=6.2

radius = MA=MB=MC=6.2/2=3.1

Om=MB-OB = 3.1-1 = 2.1

Oc²=MC²-MO²

=OC² = (3.1)²-(2.1)²

using a²-b²=(a+b) (a-b)

Oc²=(5.2) (1)

OC= √5.2

hence proved