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Prove that 3 3 is irrational. (Use the fact that if n is an integer such that n3 = 3a
Chapter 3, Problem 34(choose chapter or problem)
QUESTION:
Prove that 3 3 is irrational. (Use the fact that if n is an integer such that n3 = 3a for some integer a, then n = 3b for some integer b.)
Questions & Answers
QUESTION:
Prove that 3 3 is irrational. (Use the fact that if n is an integer such that n3 = 3a for some integer a, then n = 3b for some integer b.)
ANSWER:Step 1 of 2
Proof by contradiction will assume that the contradiction of the statement is true and try to prove that. Then the contradiction will be disproved and the statement is proved.
Consider the statement “ is irrational”.
The contradiction is: “ is rational”. We have the fact that “if is an integer such that for some integer , then for some integer .”.