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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)

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re(2): An idea | Comment 5 of 6 |
(In reply to re: An idea by Charlie)

I did not say the product implies the sum.  I said the sum implies the product. 

Which is equivalent to the contrapositive:
If the product cannot be then the sum cannot be done. 

We don't need to check 12 and 18 because their product is a cube. 

I was hoping to be able to show p,p or that p,p^(3n+1) reduces to p,p etc.  

  Posted by Jer on 2015-08-14 23:46:14
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