Difference between revisions of "2013 USAJMO Problems/Problem 6"
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− | Without loss of generality, let <math>x \ | + | Without loss of generality, let <math>x \le y \le z</math>. Then <math>\sqrt{x + xyz} = \sqrt{x - 1} + \sqrt{y - 1} + \sqrt{z - 1}</math>. |
Revision as of 09:56, 14 April 2014
Solution
Without loss of generality, let . Then .