संख्या रेखा पर √3.5 को निरूपित कीजिए
Answers
Given : √3.5
To find : Draw on number line
Solution:
Draw a number line .
Mark a point A on - 3,5 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 √3.5 on number Line
Verification
AB = 3.5 + 1 = 4.5
Radius = MA = MB = MC = 4.5/2
OM = MB - OB =4.5/2 - 1
OC² = MC² - MO²
=> OC² = (4.5/2)² - ( 4.5/2 - 1 )²
Using a² - b² = (a + b )(a - b)
=> OC² = (3.5) (1)
=> OC = √3.5
OP = OC = √3.5
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