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.
(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.
