# Prove that 2√7 is Irrational. - Mathematics

Sum

Prove that 2sqrt7 is irrational.

#### 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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