AHSME 1968 Problem 28

If the arithmetic mean of $a$ and $b$ is double their geometric mean, with $a>b>0$, then a possible value for the ratio $a/b$, to the nearest integer, is: $\text{(A) } 5 \text{(B) } 8 \text{(C) } 11 \text{(D) } 14 \text{(E) none of these}$