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

2021 WSMO Team Round Problems/Problem 10

Revision as of 22:16, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== The minimum possible value of <cmath>\sqrt{m^2+n^2}+\sqrt{3m^2+3n^2-6m+12n+15}</cmath> can be expressed as <math>a.</math> Find <math>a^2.</math> ''Proposed by pi...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The minimum possible value of \[\sqrt{m^2+n^2}+\sqrt{3m^2+3n^2-6m+12n+15}\] can be expressed as $a.$ Find $a^2.$

Proposed by pinkpig

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2021_WSMO_Team_Round_Problems/Problem_10&oldid=207633"