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A perfect square is a positive integer which when square roo
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16 Apr 2019, 00:41
16 Apr 2019, 00:41
Expert Reply
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Question Stats:
66% (00:52) correct
33% (00:25) wrong based on 18 sessions
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A perfect square is a positive integer which when square rooted results in an integer. If \(N = 3^4 * 5^3 * 7\), then what is the biggest perfect square that is a factor of \(N\)?
(A) \(3^2\)
(B) \(5^2\)
(C) \(9^2\)
(D) \((9 * 5)^2\)
(E) \((3 * 5 * 7)^2\)
(A) \(3^2\)
(B) \(5^2\)
(C) \(9^2\)
(D) \((9 * 5)^2\)
(E) \((3 * 5 * 7)^2\)
Re: A perfect square is a positive integer which when square roo
[#permalink]
21 Apr 2019, 05:19
21 Apr 2019, 05:19
2
First notice that all the options are a perfect square. However we need the biggest among them. It can be seen easily that A<B<C<D therefore we can eliminate A, B and C. Now among D and E, D is bigger so it is the answer. Since both are square of some numbers in the bracket we can only compare the expression inside the bracket
Re: A perfect square is a positive integer which when square roo
[#permalink]
Updated on: 07 Aug 2019, 01:47
Updated on: 07 Aug 2019, 01:47
Carcass wrote:
A perfect square is a positive integer which when square rooted results in an integer. If \(N = 3^4 * 5^3 * 7\), then what is the biggest perfect square that is a factor of \(N\)?
(A) \(3^2\)
(B) \(5^2\)
(C) \(9^2\)
(D) \((9 * 5)^2\)
(E) \((3 * 5 * 7)^2\)
(A) \(3^2\)
(B) \(5^2\)
(C) \(9^2\)
(D) \((9 * 5)^2\)
(E) \((3 * 5 * 7)^2\)
need explanation
