1956 AHSME Problems/Problem 33

Problem 33

The number $\sqrt {2}$ is equal to:

$\textbf{(A)}\ \text{a rational fraction} \qquad \textbf{(B)}\ \text{a finite decimal} \qquad \textbf{(C)}\ 1.41421 \\ \textbf{(D)}\ \text{an infinite repeating decimal} \qquad \textbf{(E)}\ \text{an infinite non - repeating decimal}$

Solution

$2$ is not a perfect square, so $\sqrt{2}$ is irrational. The answer is $\boxed{\textbf{(E)}\ \text{an infinite non - repeating decimal}}.$

~coolmath34

1956 AHSC (Problems • Answer Key • Resources)
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1956 AHSME Problems/Problem 33

Problem 33

Solution

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