2011 10A 16 · AMC 10 Step by Step

AMC 10 Step by Step

2011 AMC 10AProblem 16P16-20~3 minPrint

Exponents, Logarithms & Radicals Algebraic Manipulation Apply an identity: SFFT, sum of squares, difference of cubes, Vieta Substitute to simplify (u = x+1/x, shifting, scaling)

Which of the following is equal to $\sqrt{9-6\sqrt{2}}+\sqrt{9+6\sqrt{2}}$ ?

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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.