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Doubt on algebra ..Please help

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Doubt on algebra ..Please help [#permalink]

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Dear all

I have a question in inequality DS which is as follows

If √(xy) = xy, what is the value of x + y? (1) x = -1/2 (2) y is not equal to 0.

My approach is ((XY)^1/2 )^2= (XY )^2 and hence XY= (XY)^2 and hence XY =1 . Therefore it looks 1) X =-1/2 is sufficient to answer the question.

However this is not true . Without telling the answer, I request you to clarify whether the approach is right . If not, then what is the right approach?

Kudos [?]: 0 [0], given: 4

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Re: Doubt on algebra ..Please help [#permalink]

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New post 26 Dec 2017, 20:48
rajangupta wrote:
Dear all

I have a question in inequality DS which is as follows

If √(xy) = xy, what is the value of x + y? (1) x = -1/2 (2) y is not equal to 0.

My approach is ((XY)^1/2 )^2= (XY )^2 and hence XY= (XY)^2 and hence XY =1 . Therefore it looks 1) X =-1/2 is sufficient to answer the question.

However this is not true . Without telling the answer, I request you to clarify whether the approach is right . If not, then what is the right approach?


Discussed here: https://gmatclub.com/forum/if-xy-xy-wha ... 86800.html Your doubt is addressed there.

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Kudos [?]: 139674 [0], given: 12794

Re: Doubt on algebra ..Please help   [#permalink] 26 Dec 2017, 20:48
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