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How to locate root 3 on the number line |
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Answer» Answer: Step-by-step explanation: First draw a number line having points (at least) [0,3]. If we DENOTE the point 0 as “O” and point 1 as “A” then OA will be equal to 1 unit. Then at point A draw a perpendicular of length AB=1 unit ( equal to the DISTANCE from 0 to 1 in the number line i.e. OA). And join the points O and A, so that OAB is a right angled triangle. Then by pythagoras theorem, OB^2=OA^2+AB^2 => OB=sqrt (1^2+1^2) =>OB = root2 Now, again draw a perpendicular at point B of length BC= 1 unit and join the points O and C. Again by pythagoras theorem we get OC = root 3. Then by compus taking radius =OC, draw an arc so that it cuts the number line at D. Then the distance OD will be the SQUARE root of 3. |
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