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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2006 National Olympiad First Round
23
23
Part of
2006 National Olympiad First Round
Problems
(1)
Turkey NMO 2006 1st Round - P23 (Algebra)
Source:
2/2/2013
What is the greatest integer not exceeding the number
(
1
+
2
+
3
+
4
2
+
3
+
6
+
8
+
4
)
10
\left( 1 + \frac{\sqrt 2 + \sqrt 3 + \sqrt 4}{\sqrt 2 + \sqrt 3 + \sqrt 6 + \sqrt 8 + 4}\right)^{10}
(
1
+
2
+
3
+
6
+
8
+
4
2
+
3
+
4
)
10
?
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2
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10
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21
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32
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36
<span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 10 \qquad<span class='latex-bold'>(C)</span>\ 21 \qquad<span class='latex-bold'>(D)</span>\ 32 \qquad<span class='latex-bold'>(E)</span>\ 36
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2
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10
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21
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32
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36