1955 AHSME Problems/Problem 42
Problem
If , and are positive integers, the radicals and are equal when and only when:
Solution
Here, we are told that the two quantities are equal.
Squaring both sides, we get: .
Multiply both sides by : .
Looking at all answer choices, we can see that .
This means that , and this is option C. Therefore chose as your answer.
~hastapasta
See Also
1955 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 41 |
Followed by Problem 43 | |
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