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AMC 10
2011 AMC 10
16
\sqrt(9-6\sqrt(2)+\sqrt(9+6\sqrt(2)
\sqrt(9-6\sqrt(2)+\sqrt(9+6\sqrt(2)
Source: 2011 AMC A Problem 16
June 25, 2011
AMC
Problem Statement
Which of the following is equal to
9
−
6
2
+
9
+
6
2
\sqrt{9-6\sqrt{2}}+\sqrt{9+6\sqrt{2}}
9
−
6
2
+
9
+
6
2
?
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A
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2
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B
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6
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C
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7
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2
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D
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3
3
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E
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6
<span class='latex-bold'>(A)</span>\,3\sqrt2 \qquad<span class='latex-bold'>(B)</span>\,2\sqrt6 \qquad<span class='latex-bold'>(C)</span>\,\frac{7\sqrt2}{2} \qquad<span class='latex-bold'>(D)</span>\,3\sqrt3 \qquad<span class='latex-bold'>(E)</span>\,6
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2
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2
6
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C
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2
7
2
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D
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3
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E
)
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>
6
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