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Prove that root3 is a irrational

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Prove that root3 is a irrational

Posted by Rina Singh 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Gauri ❤ 6 years, 10 months ago

Let root 3 is a rational number Let a and b are positive integer and a and b have no common factor other than 1 Root 3 =a/b 3=a square/b square b square =a square/3 a square is divided by 3 than a is also divided by 3 Let a=3c 3 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 3 Therefore a and b have at least 3 as a common factor This contradiction has arisen because of our incorrect assumption that root 3 is rational So we conclude that root 3 is irrational number

1Thank You

Gungun ??? 6 years, 10 months ago

Yu can refer ncert....

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CBSE > Class 10 > Mathematics

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CBSE > Class 10 > Mathematics