# Answer to Question #15805 in Abstract Algebra for ran

Question #15805

Let n>1 and let X={(p 1 ,p 2 ,…,p n )∣p i is rational} . Show that X is disconnected.

Expert's answer

X is homeomorphic to product Q^n, where Q denotes rational numbers. Since q is

disconnected, then product of disconnected spaces,

will be also disconnected.

disconnected, then product of disconnected spaces,

will be also disconnected.

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