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Homework Statement
Suppose ~ is defined on the whole numbers by a~b iff ab2 is a perfect cube. Determine if ~ is
symmetric
transitive
Homework Equations
ab2 must ba2
The Attempt at a Solution
I tried using different numbers, but it isn't coming out as a perfect square.
For example, I said a=1
b=0........ Then this works.
Using other numbers it fails.
Should a=b?