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प्रश्न
Prove that following numbers are irrationals:
\[\frac{2}{\sqrt{7}}\]
संख्यात्मक
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उत्तर
(i) Let us assume that `2/sqrt7` is rational .Then , there exist positive co primes a and b such that
`2/sqrt7=a/b`
`sqrt7=(2b)/a`
`sqrt7`is rational number which is a contradication.
Hence `2/sqrt7` is irrational
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