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Difference between revisions of "1957 AHSME Problems/Problem 13"

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Revision as of 08:18, 25 July 2024

Problem

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is:

$\textbf{(A)}\ \frac{\sqrt{2} + \sqrt{3}}{2} \qquad \textbf{(B)}\ \frac{\sqrt{2} \cdot \sqrt{3}}{2}\qquad \textbf{(C)}\ 1.5\qquad \textbf{(D)}\ 1.8\qquad \textbf{(E)}\ 1.4$

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 $\boxed{\textbf{(C) }1.5}$

~JustinLee2017

See Also

1957 AHSC (Problems • Answer Key • Resources)
Preceded by
Problem 12 		Followed by
Problem 14
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All AHSME Problems and Solutions

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