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2005 AMC 10BProblem 4P1-10~1 minPrint
FunctionsExponents, Logarithms & RadicalsSet up the equation/formula and compute; no special trick needed

For real numbers aa and bb , define a⋄b=a2+b2a \diamond b = \sqrt{a^2 + b^2} . What is the value of

(5⋄12)⋄((−12)⋄(−5))(5 \diamond 12) \diamond ((-12) \diamond (-5)) ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.