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Prove that root3 is a irrational |
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Answer» Let root 3 is a rational number Let a and b are positive integer and a and b have no common factor other than 1Root 3 =a/b3=a square/b square b square =a square/3a square is divided by 3 than a is also divided by 3Let a=3c3 b square = 9 c square b square = 3 c square b square/3 = c square b square is divided by 3 than b is also divided by 3Therefore a and b have at least 3 as a common factorThis contradiction has arisen because of our incorrect assumption that root 3 is rationalSo we conclude that root 3 is irrational number Yu can refer ncert.... |
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