Art of Problem Solving

2006 AMC 12A Problems/Problem 10: Difference between revisions

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== Problem ==
== Problem ==
For how many real values of <math>x</math> is <math>\sqrt{120-\sqrt{x}}</math> an integer?
<math> \mathrm{(A) \ } 3\qquad \mathrm{(B) \ } 6\qquad \mathrm{(C) \ } 9\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ }  11</math>


== Solution ==
== Solution ==

Revision as of 22:46, 10 July 2006

Problem

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

$\mathrm{(A) \ } 3\qquad \mathrm{(B) \ } 6\qquad \mathrm{(C) \ } 9\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ }  11$

Solution

See also