# Prove that sqrt5/3 is irrational. - Mathematics

Sum

Prove that sqrt5/3 is irrational.

#### 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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