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Prove that sqrt5/3 is irrational. - Mathematics

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Sum

Prove that `sqrt5/3` is irrational.

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Solution

Let `sqrt5/3 `is rational

`:. 3(sqrt5/3) = sqrt5` is rational

(∵ Q product of two rationals is also rational)

but this is contradiction that `sqrt5` is irrational.

`:.sqrt5/3` is irrational proved

Concept: Proofs of Irrationality
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