1957 AHSME Problems/Problem 13

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We see that $A$ and $B$ are both irrational, so we look at $C, D,$ and $E$ Recall that $\sqrt 2$ is around $1.414$, and $\sqrt{3}$ is around $1.732$ So the only number between that is $C$

$\boxed{C}$

~JustinLee2017