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# Which of the following equations is true for all positive

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Joined: 20 May 2014
Posts: 282
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Kudos [?]: 49 [0], given: 220

Which of the following equations is true for all positive [#permalink]  29 Oct 2017, 01:37
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Question Stats:

100% (01:11) correct 0% (00:00) wrong based on 1 sessions
Which of the following equations is true for all positive values of x and y?

Kudos for correct solution.

[Reveal] Spoiler:
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[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 521
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Kudos [?]: 327 [1] , given: 66

Re: Which of the following equations is true for all positive [#permalink]  30 Oct 2017, 08:46
1
KUDOS
Let's start checking the correctness of each answer choice:

A) $$\sqrt{x} + \sqrt{y} \neq \sqrt{x+y}$$ --> wrong

B) $$\sqrt{x^4y^{16}} = x^2y^8 \neq x^2y^4$$ --> wrong

C) $$(x\sqrt{y})(y\sqrt{x}) = xy\sqrt{xy} \neq x^2y^2$$ --> wrong

D) $$y\sqrt{x} +y\sqrt{x} = \sqrt{4xy^2}$$ --> correct

E) $$x^yy^y = (xy)^y \neq (xy)^{2y}$$ --> wrong

Re: Which of the following equations is true for all positive   [#permalink] 30 Oct 2017, 08:46
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