Difference between revisions of "1958 AHSME Problems/Problem 8"
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== Problem == | == Problem == | ||
− | Which of these | + | Which of these five numbers <math> \sqrt{\pi^2},\,\sqrt[3]{.8},\,\sqrt[4]{.00016},\,\sqrt[3]{-1}\cdot \sqrt{(.09)^{-1}}</math>, is (are) rational: |
<math> \textbf{(A)}\ \text{none}\qquad | <math> \textbf{(A)}\ \text{none}\qquad |
Latest revision as of 03:00, 29 June 2017
Problem
Which of these five numbers , is (are) rational:
Solution
is not rational, so eliminate choices , , and . Note that , so is rational. We have found one rational number, so we can eliminate choice . The answer is .
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.