Prove that 47 is irrational number.

pouzdrotf

pouzdrotf

Answered

2022-07-06

Prove that 47 is irrational number.

Answer & Explanation

lofoptiformfp

lofoptiformfp

Expert

2022-07-07Added 16 answers

If p q = 47 then p 2 = q 2 47. That means the number of 47s in the prime factorization of p 2 is one more than the number of 47s in the prime factorization of q 2 . But that cannot happen because p 2 and q 2 , both being squares, must both have an even number of 47s in their factorizations.

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