Represent root 6.8 on a number line
Answers
Given : √6.8 , root 6.8
To find : To be represented on Number line
Solution:
Step 1 : Draw a Number line
Step 2 : Take a point A at - 6.8 on Number line
Step 3 : Using Appropriate Compass Width taking 1 & -6.8 as center draw arcs on both sides of number line intersecting at X & Y
Step 4 : Join X & Y intersecting number line at M ( - 2.9 ) we could also directly take -2.9 point
Step 5 : Taking point M as center and compass width upto A (-6.8) or point 1 Draw a semicircle
Step 6 : Draw a right angle at O (zero) on number line intersecting semicircle at P
Step 7 : Taking O (zero) as center & taking compass width = OP draw an arc intersecting number line on positive side at B
point B represent √6.8 on number line
OP² = ((6.8 + 1)/2)² - ((6.8 + 1)/2 - 1)²
= 3.9² - 2.9²
= (3.9 + 2.9)(3.9 - 2.9)
= (6.8)(1)
= 6.8
=> OP = √6.8
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