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Can anyone explain the 1st question …

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Can anyone explain the 1st question of 3rd section from exercise 1.3
  • 1 answers

Gaurav Seth 5 years, 3 months ago

 (i) We can prove irrational by contradiction.

Let us suppose that  is rational.

It means we have some co-prime integers a and b (≠ 0) such that

=ab

⇒  … (1)

R.H.S of (1) is rational but we know that  is irrational.

It is not possible which means our supposition is wrong.

Therefore,  cannot be rational.

Hence, it is irrational.

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