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If x and y are perfect squares, then which of the following is not necessarily ... ...

If x and y are perfect squares, then which of the following is not necessarily a perfect square?


(A)

x2


(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set A: Substitution

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Posted: 09/02/2012 10:19
How do u do this question?
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Posted: 11/06/2012 12:48
Would you eliminate A and C because they don't contain "y" in them?
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Posted: 11/06/2012 13:59
Jagathi, please see the explanation which is accessible by tapping on the Show Correct Answers button in the app:

Choose x = 4 and y = 9. Then x^2 = 4^2 = 16, which is a perfect square. (Note, we cannot eliminate x^2 because it may not be a perfect square for another choice of x.) Next, xy = 4·9 = 36, which is a perfect square. Next, 4x = 4·4 = 16, which is a perfect square. Next, x + y = 4 + 9 = 13, which is not a perfect square. Hence, the answer is (D).
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If x and y are perfect squares, then which of the following is not necessarily ... ... 
Posted: 01/26/2014 09:35
I don't understand
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