how to represent root x on number line
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draw a line AB eg if you want to represent root 2 on number line
first plot 0 1 2 and find the perfect square of number less than ✓2 ie 1 now draw a hypotenuse from 0 to perpendicular of a line from 1 let the triangle form be ABC with hypotenuse AC and the sides other than hypotenuse be 1 which implies AC = ✓2...Now take a compass with radius AC and bisect it in the number line .Hence the point where the arc bisect is ✓2 on the number line....
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