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# If r=0.345, s=(0.345)^2, and t=root(0.345), which of the

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Re: If r=0.345, s=(0.345)^2, and t=root(0.345), which of the [#permalink]  06 May 2012, 08:47
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Question Stats:

78% (01:38) correct 22% (00:32) wrong based on 79 sessions
If $$r=0.345$$, $$s=0.345^2$$, and $$t=\sqrt{0.345}$$, which of the following is the correct ordering of $$r$$, $$s$$, and $$t$$ ?

A. r < s < t
B. r < t < s
C. s < t < r
D. s < r < t
E. t < r < s

If $$x$$ is in the range $$0<x<1$$ then: $$0<x^2<x<\sqrt{x}<1$$.

Consider the simpler example: if $$x=\frac{1}{4}$$ then $$0<\frac{1}{16}<\frac{1}{4}<\frac{1}{2}<1$$.

So, $$s<r<t$$.

[Reveal] Spoiler: OA

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Re: If r=0.345, s=(0.345)^2, and t=root(0.345), which of the   [#permalink] 06 May 2012, 08:47
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