Question

Prove that root19 is irrational.​

Answer 1

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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