(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given x > 0 and [tex]n \in N[/tex], prove that there is a unique y > 0 s.t. [tex]y^n = x[/tex] exists and is unique

2. Relevant equations

Hint is given: consider [tex]y = 1. u.b. \{s \in R : s^n < x\} [/tex]

3. The attempt at a solution

I'm not used to this style of proof (real analysis I), help would be appreciated, thanks. BTW, what does "u.b." signify?

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# Homework Help: Analysis problem

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