SAT Math Multiple Choice Practice Question 273: Answer and Explanation

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Question: 273

9. If m and n are both squares of integers, which of the following is NOT necessarily the square of an integer?

A. 9m
B. mn
C. m2
D. 9mn
E. 9m-9n

Correct Answer: E


E Pick two perfect squares for m and n, like 4 and 9. Plugging these in to the examples gives (A) 36 (B) 36 (C) 16 (D) 324 (E) –45. The only choice that is not a perfect square is (E) –45.

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