Represent √8.2 on the number line
Answers
Given :√8.2 on number line
To find : How to draw / locate
Solution:
Draw a number line .
Mark a point A on - 8.2 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 √8.2 on number Line
Verification
AB = 8.2+ 1 = 9.2
Radius = MA = MB = MC = 9.2/2
OM = MB - OB = 9.2/2 - 1
OC² = MC² - MO²
=> OC² = (9.2/2)² - ( 9.2/2 - 1 )²
Using a² - b² = (a + b )(a - b)
=> OC² = (8.2) (1)
=> OC = √8.2
Learn more:
Show root 7 on the number line - Brainly.in
brainly.in/question/4539966
Represent root 6.8 on a number line - Brainly.in
brainly.in/question/10304742
Step-by-step explanation:
hope its helpful
