If a is rational and b is irrational number and we know that a b is rational, then wha

rigliztetbf

rigliztetbf

Answered question

2022-06-25

If a is rational and b is irrational number and we know that a b is rational, then what can we say about a / b? Is true that it's equal to 0?

Answer & Explanation

marktje28

marktje28

Beginner2022-06-26Added 22 answers

Yes. If a b and a are both rational and a 0, then a b a = b is rational as well. Given that b is irrational, we must have a = 0. Since b is irrational it is nonzero, so a b is well-defined and equals 0.

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