Rational + irrational = always irrational?

Mara Cook

Mara Cook

Answered question

2022-06-16

Rational + irrational = always irrational?

Answer & Explanation

Hadley Cunningham

Hadley Cunningham

Beginner2022-06-17Added 20 answers

Suppose x is irrational and x + p q = m n then, x = m n p q = m q n p n q so, x would then be rational.
Dwllane4

Dwllane4

Beginner2022-06-18Added 6 answers

Yes, it is true that x + 1 being irrational implies x is irrational. Given that x + 1 is irrational, assume x = a b with a , b integers. Then x + 1 = a + b b would be rational as well.

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