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

Mathematics real analysis(please follow the comment)

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

Please proof it. Hint(you need to prove Uniqueness and Existence. For Existence(you need to let a=supA and prove contradicts a^2<2, a^2>2 also use the Archimedean property) Show every steps. Use contradiction proof

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Colby Messinger answered 2 years ago
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