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Non-perfect Cube Root Sum (Posted on 2015-08-14) Difficulty: 3 of 5
Can the sum of two cube roots of positive non-perfect cubes be an integer?

Give reasons for your answer.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: An idea | Comment 3 of 6 |
(In reply to An idea by Jer)

I think there is a problem with Jer's first conclusion.  

Consider d*e = f

It is not true that if e and f are integers, then d must be an integer also.

For example, (.5)*2 = 1

Edited on June 6, 2017, 2:21 pm
  Posted by Steve Herman on 2015-08-14 14:49:36

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