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Nonperfect Cube Root Sum (
Posted on 20150814
)
Can the sum of two cube roots of positive nonperfect cubes be an integer?
Give reasons for your answer.
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Submitted by
K Sengupta
Rating:
5.0000
(1 votes)
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solution
 Comment 4 of 6 
Since nothing was said about a and b being integers, take a=(x+y)^3 and b=(xy)^3 where x is an integer and y is an irrational, say x=2 and y=2^1/2. Then the sum of the cube roots of a and b is the integer 4.
Posted by
xdog
on 20150814 20:12:21
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