This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 2

2012 Hanoi Open Mathematics Competitions, 2
Tags: algebra , comparison
Compare the numbers $P = 2^a,Q = 3, T = 2^b$, where $a=\sqrt2 , b=1+\frac{1}{\sqrt2}$ (A) $P < Q < T$, (B) $T < P < Q$, (C) $P < T < Q$, (D) $T < Q < P$, (E) $ Q < P < T$

2011 Hanoi Open Mathematics Competitions, 2
Tags: algebra , comparison
What is the smallest number ? (A) $3$ (B) $2^{\sqrt2}$ (C) $2^{1+\frac{1}{\sqrt2}}$ (D) $2^{\frac12} + 2^{\frac23}$ (E) $2^{\frac53}$