Prove that root19 is irrational.
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Step-by-step explanation:
√19=p/q
on squaring both sides
19=p^2/q^2
p^2=19q^2
let p =19a
19a^2=19q^2
q^2=19a^2
we can say that both p &q have more than 2 factors so they are not co prime
hence p/q is irrational so√19is also irrational
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