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Non-perfect Cube Root Sum (Posted on 2015-08-14)

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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