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GMAT Prep problem: multiple square roots

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Source: — Problem Solving |
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by bfman » Tue Sep 29, 2009 11:31 am
Are these nested roots? or separate roots?
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by bfman » Tue Sep 29, 2009 11:32 am
Are these nested roots? or separate roots?
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by sanjana » Wed Sep 30, 2009 7:43 pm
Firstly these are nested roots.

I would prefer to go backwards on this one.

If for any answer choice you can get a negative root you would pick that one.

For 5,

SQRT(2-SQRT(5)) will result in a -ve root as sqrt 5 > 2
Therefor you would result in a SQRT(-ve) number(i.e an imaginary number)I would pick 5.

For all the other options,if you simply substitute the values you will get +ve square roots.
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