Question

Prove that √3 is irrational. what should be multiplied to √3 to make it rational?
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Answer 1

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. Here 3 is the prime number that divides p2, then 3 divides p and thus 3 is a factor of p.

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Answer 2

Step-by-step explanation:

multiply√3 to make √3 rational

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