Prove that square root of 3 is irrational

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03-02-2022
Mathematics

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Prove that square root of 3 is irrational

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prettxbabxjahnaiyha prettxbabxjahnaiyha · Answer 1 · 2022-02-03T15:03:04-05:00

prettxbabxjahnaiyha prettxbabxjahnaiyha

03-02-2022

Let us assume the contrary that root 3 is rational. Then √3 = p/q, where p, q are the integers i.e., p, q ∈ Z and co-primes, i.e., GCD (p,q) = 1. Here 3 is the prime number that divides p2, then 3 divides p and thus 3 is a factor of p. ... Therefore, the root of 3 is irrational.

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Prove that square root of 3 is irrational​

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Prove that square root of 3 is irrational