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Re: a<0 and b<0 [#permalink]
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Hi Carcass,

I think the answer will be B

it is given that a and b are both negative. Hence, Quantity A HAS TO BE NEGATIVE.

Quantity B will first square the negative values, then take the square root, hence Quantity B HAS TO BE POSITIVE.

Could you please confirm my reasoning? If I'm wrong, could you please tell us which values for a and b will be C?
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a<0 and b<0 [#permalink]
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It is an ambiguous question

The answer could be C but also B

If we take QB and eliminate the root with the power of two (we can ) we do have a+b and the two quantities are equal

However, if we use two negative values the result is positive and the square root of a positive is still positive but QA with the two negative values is negative and B > A

I would say B is more likely as OA, but ,again, is ambiguous
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Re: a<0 and b<0 [#permalink]
I think it’s D. You can’t just cancel out the square and square root.

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Re: a<0 and b<0 [#permalink]
The answer is B. The reason being that after the root is done, it could be either negative or positive.
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Re: a<0 and b<0 [#permalink]
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