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m22 #25

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m22 #25 [#permalink] New post 21 Oct 2009, 23:30
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I have a problem with this question.

If a circle is inscribed in a square, what is the ratio of the diagonal of the square to the radius of the circle?

a) \frac{1}{2}
b) \frac{1}{\sqrt{2}}
c) \sqrt{2}
d) 2
e) \sqrt{8}

The correct answer should be 2\sqrt{2}, but the test lists it as \sqrt{8}. Answers on the GMAT are supposed to be in the simplest version. You'd never have an answer of 4/8, it would always reduce down to 1/2. Same thing for radicals. If you can break it down more, that's the answer.

\sqrt{8} breaks down into \sqrt{4}*\sqrt{2} = 2\sqrt{2}

I think answer E needs to be rewritten to show the simplest answer.
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Re: m22 #25 [#permalink] New post 22 Oct 2009, 00:21
I see. I'll edit the question. Thank you! +1.

EDIT: Done.
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Re: m22 #25   [#permalink] 22 Oct 2009, 00:21
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