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Prove that 2root3 is irrational

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Prove that 2root3 is irrational

Posted by Zamin Muhammed 1 year, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Jatin Bansal 1 year, 10 months ago

let us suppose 2√3 is a rational no then their positive integer a and b such that 2√3=a/b(where a and b are co-primes and their HCF=1) 2√3=a/b √3=a/2b From this, a/2b is a rational number. Also,√3 is rational number. But, we know √3 is an irrational number. So, our supposition is wrong. Hence, 2√3 is an irrational number. Hence proved

Sumit _Yt 1 year, 10 months ago

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