Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number ?

Sichilin5p

Sichilin5p

Answered question

2023-01-26

Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number ? Justify your answer with an example.

Answer & Explanation

Gerardo Goodman

Gerardo Goodman

Beginner2023-01-27Added 7 answers

If a is a rational number and b is an irrational number.
ab is an irrational number except for a =0
for a =0 ; ab is a rational number.
If one rational number is multiplied by another that is not rational, the result is an irrational number.

example :

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