2014 AMC 10A Problems/Problem 8
Contents
[hide]Problem
Which of the following numbers is a perfect square?
Solution
Note that for all positive , we have
We must find a value of such that is a perfect square. Since is a perfect square, we must also have be a perfect square.
In order for to be a perfect square, must be twice a perfect square. From the answer choices, works, thus, and our desired answer is
Video Solution (CREATIVE THINKING)
https://youtu.be/sa9OON6KXb8
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Video Solution
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See Also
2014 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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