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If two shapes (an equilateral triangle with all sides [#permalink]

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21 Feb 2006, 08:39

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If two shapes (an equilateral triangle with all sides labelled "T" and a square with all sides labelled "S") have the same area, what is the ratio of S:T

You are taking sqare root of sqrt(3). It cant be sqrt(3).!

I think the answers are wrong.
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

in my answer 4sqrt(3) means 3 ^(1/4) (thats the way the options are written )

which is mathematical terms means

4th square root of 3 i.e 3 ^(1/4)

for example 4th square root of 81 is 3 (talking of positive values) .

Thanks for the explanation! I didn't know the notation
4sqrt(3) = (3)^1/4

I always thought, 4sqrt(3) = 4*sqrt(3)

MBAlad,
Is this how *exactly* GMATPrep gave you the answers?
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

Thanks guys - yes, it's exactly how answers were given.

However, when you go from s^2/t^2=sqrt3/4 you obviously square root both sides - does this not make the answer s/t=3sqrt3/2 (because taking the square root of a square root make a cube root?)