# Irrational numbers, decimal representation

Can this even be proved? (Or disproved?)

Any irrational number without a 0 (zero) in its decimal representation is transcendental.

Not sure where to start on this one...

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$\sqrt{6}$ has no zero in its decimal expansion
Where do you have that from? If Maple is to be believed, $\sqrt6=2.4494897427831780981972840747058913919659474806567\ldots$ –  Harald Hanche-Olsen May 2 '13 at 8:02