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Prove that Following Numbers Are Irrationals: 2 √ 7 - Mathematics

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प्रश्न

Prove that following numbers are irrationals:

\[\frac{2}{\sqrt{7}}\]
संख्यात्मक

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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पाठ 1: Real Numbers - Exercise 1.5 [पृष्ठ ४९]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 1 Real Numbers
Exercise 1.5 | Q 2.1 | पृष्ठ ४९

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