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Dec 30, 2016 at 19:49 comment added Jack D'Aurizio Or $$12\cdot 2^{1/2}+9\cdot 3^{1/3}-21\cdot 5^{1/5} \stackrel{?}{<} 1.$$
Dec 30, 2016 at 19:24 vote accept pasaba por aqui
S Dec 30, 2016 at 18:58 history edited amWhy
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Dec 30, 2016 at 18:50 comment added Robert Israel For a harder one, you might try $7-20\,\sqrt {2}+2\,\sqrt [3]{3}-\sqrt [5]{5}-\sqrt [6]{6}+16\,\sqrt [7 ]{7} $.
Dec 30, 2016 at 18:47 comment added marwalix The title is wrong because $4-\sqrt{2}-\sqrt[3]{3}-\sqrt[5]{5}\lt 0$
Dec 30, 2016 at 18:45 review Suggested edits
S Dec 30, 2016 at 18:58
Dec 30, 2016 at 18:45 answer added Sil timeline score: 24
S Dec 30, 2016 at 18:44 history suggested pseudoeuclidean CC BY-SA 3.0
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Dec 30, 2016 at 18:44 comment added George Law @pasabaporaqui Okay. But now you want to disprove it rather than prove it.
Dec 30, 2016 at 18:42 comment added pasaba por aqui @George Law: it doesn't matter, the issue is find a method to say "yes, it is greater" or "no". First number (and, in fact, all remainders) are only examples.
Dec 30, 2016 at 18:41 comment added George Law @pasabaporaqui You originally wrote $5-\sqrt2-\sqrt[3]3-\sqrt[5]5>0$ which was correct.
Dec 30, 2016 at 18:39 comment added Mark Bennet In principle, either way, it should be possible to obtain close-enough rational approximations of the roots.
Dec 30, 2016 at 18:39 comment added pasaba por aqui sorry, I do not understand. What is wrong? (the proof can result in "no")
Dec 30, 2016 at 18:38 review Suggested edits
S Dec 30, 2016 at 18:44
Dec 30, 2016 at 18:38 comment added George Law The original title was correct; now it's wrong.
Dec 30, 2016 at 18:37 history edited pasaba por aqui CC BY-SA 3.0
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Dec 30, 2016 at 18:35 history asked pasaba por aqui CC BY-SA 3.0