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Prove that 2√7 is Irrational. - Mathematics

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Sum

Prove that `2sqrt7` is irrational.

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Solution

Let is rational

`:.2sqrt7xx(1/2)=sqrt7`

(∵ Q division of two rational no. is also rational)

`:. sqrt7` is rational

but this is contradition that is irrational.

`:.2sqrt7` is irrational

Concept: Proofs of Irrationality
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