Prove that root13+root17 is anirrational
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let root 13 + root 17 be rational
then root 13 + root 17 = p / q with only one as common factor.
root 13 + root 17 × q = p
this contradicts the fact that p and q are coprime. Therefore root 13 + root 17 is irrational
then root 13 + root 17 = p / q with only one as common factor.
root 13 + root 17 × q = p
this contradicts the fact that p and q are coprime. Therefore root 13 + root 17 is irrational
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