AMC 10 Step by Step

2006 AMC 10AProblem 10P1-10~2 minPrint

Number Properties Exponents, Logarithms & Radicals Set up the equation/formula and compute; no special trick needed

For how many real values of $x$ is $\sqrt{120-\sqrt{x}}$ an integer?

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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. Also appeared as 2006 12A #10.