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Mathematics real analysis(please follow the comment) Theorem: There exists a unique positive real number a is in...

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Mathematics real analysis(please follow thecomment)

Theorem: There exists a unique positive real number a is in R,satisfying a^2=2

Please proof it. Hint(you need to proveUniqueness and Existence. For Existence(you need to let a=supA andprove contradicts a^2<2, a^2>2 also use theArchimedean property) Show every steps. Use contradictionproof

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