Can three complex numbers multiplied ever be real? – math.stackexchange.com

Can three complex numbers multiplied ever be real? – math.stackexchange.com

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Say I have three numbers, $a,b,c\in\mathbb C$. I know that if $a$ were complex, for $abc$ to be real, $bc=a^*$. Is it possible for $b,c$ to both be complex, or is it only possible for one to be, the ...

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