Question

prove that each of the gollowing is irrational number root3​

Answer 1

Step-by-step explanation:

Proof: 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. ... Therefore, the root of 3 is irrational.

Answer 2

Step-by-step explanation:

$\large\underline{\large\underline{\text{Answer :-}}}$

Proof: 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. ... Therefore, the root of 3 is irrational

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