# Real Analysis of Powers and Roots

Not what you're looking for? Search our solutions OR ask your own Custom question.

Please see the attached file for the fully formatted problems.

Suppose that is not a perfect nth power, i.e K is not equal to

(a) Prove that is not a member of Q, the set of all rational numbers.

(b) Infer that the nth root of a natural number is either a natural number or it is irrational.

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:51 am ad1c9bdddfhttps://brainmass.com/math/real-analysis/real-analysis-powers-roots-24315

#### Solution Summary

Real analysis problems are solved. The solution is detailed and well-presented.

$2.49