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# If x is a perfect square, is x also a perfect cube?

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Math Expert
Joined: 02 Sep 2009
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If x is a perfect square, is x also a perfect cube?  [#permalink]

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15 Apr 2016, 01:22
1
9
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Difficulty:

25% (medium)

Question Stats:

74% (01:23) correct 26% (01:10) wrong based on 122 sessions

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If x is a perfect square, is x also a perfect cube?

(1) $$x = k^6$$, where k is a positive integer.
(2) $$x^{(\frac{1}{6})}=n$$, where n is a positive integer.

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If x is a perfect square, is x also a perfect cube?  [#permalink]

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15 Apr 2016, 03:30
If x is a perfect square, is x also a perfect cube?

(1) x=k6x=k6, where k is a positive integer.
(2) x(16)=nx(16)=n, where n is a positive integer.

Both statement are sufficient as x = k^6 = (k^2)^3
n^6 = (n^2)^3

D
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Re: If x is a perfect square, is x also a perfect cube?  [#permalink]

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15 Apr 2016, 05:01
Both statements are true
here x must be a perfect cube as integer^3 =x
hence D
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Re: If x is a perfect square, is x also a perfect cube?  [#permalink]

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29 Jul 2017, 06:57
Hey Bunuel can you please explain what would happen if k&n were not given as positive integers, and only as integers?
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Re: If x is a perfect square, is x also a perfect cube?  [#permalink]

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14 Aug 2018, 07:32
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Re: If x is a perfect square, is x also a perfect cube?   [#permalink] 14 Aug 2018, 07:32
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