beyondenim1 wrote:Is n an integer ?

(1) n^2 is an integer

(2) √n is an integer


I understood statement 1 of why this is insufficient because the value of n could also be a non-integer and still yield an integer of its total value.

ex. n could be (√2) ^2 = equal to an integer 2.


What I do not understand is that in statement 2, we can also plug in a non-integer value for n such as √√81 (so we can assume that the value of n is √81, so overall becomes 4th root of 81), thus resulting to an integer 3.

So why is the answer b? It should be E because in both statements I plugged in √2 and √81. Both of which are NON-INTEGERS and thus, we cannot guarantee that n is an integer in either situation.

beyondenim1 wrote:Is n an integer ?

(1) n^2 is an integer

(2) √n is an integer


I understood statement 1 of why this is insufficient because the value of n could also be a non-integer and still yield an integer of its total value.

ex. n could be (√2) ^2 = equal to an integer 2.


What I do not understand is that in statement 2, we can also plug in a non-integer value for n such as √√81 (so we can assume that the value of n is √81, so overall becomes 4th root of 81), thus resulting to an integer 3.

So why is the answer b? It should be E because in both statements I plugged in √2 and √81. Both of which are NON-INTEGERS and thus, we cannot guarantee that n is an integer in either situation.

beyondenim1 wrote:@GMATGuruNY

What I mean is that n could also equal √81 , meaning under a square root so the overall result would be √√81 (4th root of 81) the result is 3 which is an integer.

I don't think n is necessarily an integer here, the value of n is √81 which is not an integer and √√81 yields a value of 3.

Please Explain. Thanks in advance