Question

Negative of an irrational number is irrational

Answer 1

The negative of any irrational number is irrational. Prove by contraposition: First, translate given statement from informal to formal language: ∀ Real numbers x, if x is an irrational number, then −x is also an irrational number. ... By the definition of rational, we have x = a/b for integers a and b with b ≠ 0.

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