For a rational number a and an irrational number b , if a b is...

Ximena Skinner

Ximena Skinner

Answered

2022-06-29

For a rational number a and an irrational number b , if a b is rational or a b is rational can we say that a = 0 ?

Answer & Explanation

billyfcash5n

billyfcash5n

Expert

2022-06-30Added 17 answers

Assume a 0, then for any b 0 we have
if c := a × b is rational, then b = c a is rational.
if d := a b is rational = , then b = ( d a ) 1 is rational.

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