MathDB
Turkey NMO 2006 1st Round - P23 (Algebra)

Source:

February 2, 2013

Problem Statement

What is the greatest integer not exceeding the number (1+2+3+42+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}?
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 10<spanclass=′latex−bold′>(C)</span> 21<spanclass=′latex−bold′>(D)</span> 32<spanclass=′latex−bold′>(E)</span> 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
Back to ProblemsView on AoPS