Dont need square roots
Number Theory
Level
1
Suppose you are given the following numbers (A)2951531584, (B)545502736, (C)3088138, (D)466527, (E)90000, (F)46656,
Which of these can you guarantee to not be a perfect square given 4 of them are perfect squares
E
C
B
D,C
A,F
F
A
None of these
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1 solution
D and C. Perfect squares can never have unit digit 2,3,7 or 8. (In case of perfect cubes, the digital root of the number will be 1, 9 or 8) .