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2021 WSMO Team Round Problems/Problem 10

Revision as of 21:16, 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...")
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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

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