InterviewSolution
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InterviewSolution
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Represent each of the numbers √2, √3, √5 on the real line |
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Answer» 1.First, we draw a line OA of length 1 2.Now, we draw a perpendicular of length 1 on point A as AB 3.From, Pythagoras Theorem, OB =√2 4.Now, take an arc of length OB, and draw it on the number line which meets as E. So, at E, we can represent √2 as shown in the figure. 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. 5 = √(4+1)Here 4 and 1 both are perfect square number as √4 = 2 and √1 = 1So draw right triangle with side 2 and 1And according to Pythagoras theorem hypotenuse will √(2^2+1^2) = √5Then draw an arc of √5 on number line |
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