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Answer variants:
cannot be expressed as p/q form
contradicts
satisfies
\(41q^2 = p^2\)
irrational Number
rational Number
co-primes
composites
\(q^2\) is divisible by \(41\) and \(q\) is also divisible by \(41\)
can be expressed as p/q form
\(\sqrt{41} = \frac{p}{q}\)
Let's prove 41 is an irrational number.
 
Now prove by contradiction method.
 
1.Assume 41 is a
2.By the definition,
3.And \(p\) and \(q\) are
4.So we can write it as
5.Simplifying the term,
6.This implies that,
7.This
 our assumption.
8.Thus, 41 is