Abstract Algebra: Irrationals
Not what you're looking for?
Please provide a proof to the following problem. Thank you for your time, it is greatly appreciated.
"Show that the nth-root of m is not rational unless m = k^n for some integer k."
Thank you again.
Purchase this Solution
Solution Summary
Provides steps to calculate whether the the problem is rational.
Solution Preview
Proof:
Suppose the nth-root of m is a rational. Without the loss of generality, I assume m>0, then we have
nth root ...
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability