a. If p E P is a prime number, prove that the cube root of 2p is irrational.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 1E: Give an example of each of the following: (a) A natural number (b) An integer that is not a natural...
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a. If p e P is a prime number, prove that the cube root of 2p is irrational.
b. Suppose that n EN is a natural number and p E P is a prime number, for which value(s)
of n is the cube root of np rational? Justify your answer.
Transcribed Image Text:a. If p e P is a prime number, prove that the cube root of 2p is irrational. b. Suppose that n EN is a natural number and p E P is a prime number, for which value(s) of n is the cube root of np rational? Justify your answer.
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