MathDB

compare expontentials with sqrt (HOMC 2011 Q2)

Source:

July 25, 2019

algebracomparison

Problem Statement

What is the smallest number ?
(A)

3

(B)

2^{\sqrt2}

(C)

2^{1+\frac{1}{\sqrt2}}

(D)

2^{\frac12} + 2^{\frac23}

(E)

2^{\frac53}