Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2013 USAJMO Problems/Problem 6

Revision as of 09:56, 14 April 2014 by Suli (talk | contribs) (→‎Solution)

Solution

Without loss of generality, let $x \le y \le z$. Then $\sqrt{x + xyz} = \sqrt{x - 1} + \sqrt{y - 1} + \sqrt{z - 1}$.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2013_USAJMO_Problems/Problem_6&oldid=61437"