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
