represent geometrically √8.1 on number line
Answers
then draw 1cm extra which makes it 9.1
mark A, B at 8.1 and C at 9.1
take a compass and from point C , take more than half draw perpendicular bisector.
From point O, draw a arch from A to C.
construct 90° at point B.
and from point B drop the arch.
Hope this helps!!
Given : root 8.1 on number line
To find : How to draw / locate
Solution:
Draw a number line .
Mark a point A on - 8.1 on number line
& mark a point B on 1 on 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 drawn semicircle at C
Taking O as center & compass width = OC , draw an arc on right side of Zero
intersecting number line at P
P is √8.1 on number Line
Verification
AB = 8.1 + 1 = 9.1
Radius = MA = MB = MC = 9.1/2
OM = MB - OB = 9.1/2 - 1
OC² = MC² - MO²
=> OC² = (9.1/2)² - ( 9.1/2 - 1 )²
Using a² - b² = (a + b )(a - b)
=> OC² = (8.1) (1)
=> OC = √8.1
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