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Let $A$ be a non-Lebesgue measurable set, and let $B=[0,1]\subseteq\mathbb{R}$. Show that $C=A\times B$ is non-measurable.

I try use the regularity of the lebesgue measure, but don“t work, maybe take a set of borel sets and suppose $C$ is measurable give something..

Thanks.

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