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If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?

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If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink] New post 12 Dec 2012, 07:32
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Question Stats:

92% (01:27) correct 8% (00:31) wrong based on 252 sessions
If s > 0 and \sqrt{\frac{r}{s}}=s, what is r in terms of s ?

(A) 1/s
(B) \sqrt{s}
(C) s\sqrt{s}
(D) s^3
(E) s^2-s
[Reveal] Spoiler: OA
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Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink] New post 12 Dec 2012, 07:33
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Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink] New post 24 Jan 2015, 16:59
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Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink] New post 24 Jan 2015, 18:05
Hi All,

This question can be solved by TESTing VALUES. The key is to keep the values relatively small and think about how the square root sign impacts the math:

We're told that S > 0 and (r/s)^1/2=s

We're asked for the value of R.

IF....
R = 8
S = 2
\sqrt{4} = 2

So we're looking for an answer that = 8 when S = 2....

Answer A: 1/2 NOT a match
Answer B: \sqrt{2} NOT a match
Answer C: 2\sqrt{2} NOT a match
Answer D: 2^3 = 8 This IS a MATCH
Answer E: 2^2 - 2 = 2 NOT a match

Final Answer:
[Reveal] Spoiler:
D


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Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?   [#permalink] 24 Jan 2015, 18:05
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