Mathematics
Given that is irrational for all primes p and also suppose that 3721 is a prime. Can you conclude that is an irrational number? Is your conclusion correct? Why or why not?
Mathematics Proofs
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Answer
Assuming 3721 to be a prime number.
Given,
is irrational for all primes p, hence is a prime number.
But,
= 61
61 is a rational number.
∴ The assumption that 3721 is a prime number is incorrect.
Hence, the conclusion is false.
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