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

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24 Jan 2015, 16:59

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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