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# Each of a, b, and c is positive. Does b = root(ac)

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Each of a, b, and c is positive. Does b = root(ac) [#permalink]  29 Aug 2013, 12:51
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Each of a, b, and c is positive. Does $$b = \sqrt{ac}$$?

(1) $$\frac{a}{b} = \frac{b}{c}$$
(2) $$\frac{1}{b^3} = \frac{1}{abc}$$
[Reveal] Spoiler: OA

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Last edited by Bunuel on 29 Aug 2013, 12:55, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Each of a, b, and c is positive. Does b = root(ac) [#permalink]  29 Aug 2013, 12:58
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Each of a, b, and c is positive. Does $$b = \sqrt{ac}$$?

(1) $$\frac{a}{b} = \frac{b}{c}$$. Cross-multiply: $$b^2=ac$$ --> $$b = \sqrt{ac}$$. Sufficient.

(2) $$\frac{1}{b^3} = \frac{1}{abc}$$. Cross-multiply: $$b^3=abc$$ --> reduce by b: $$b^2=ac$$. Sufficient.

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Re: Each of a, b, and c is positive. Does b = root(ac)   [#permalink] 29 Aug 2013, 12:58
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# Each of a, b, and c is positive. Does b = root(ac)

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