DS question

is n an integer?
1) n^2 is an integer

in the statement above, can anyone provide me with an example of n not being an integer when n^2 is an integer? thanks.

JP,

Sqrt (2) , (2)^1/2 , for the matter square root of any non- perfect Square number!!! will not be an integer.

I hope that helps!!

Saurabh Malpani, can you please explain you logic ? JP's question was:

"is n an integer?
1) n^2 is an integer

in the statement above, can anyone provide me with an example of n not being an integer when n^2 is an integer? "

Your example of "Sqrt (2) , (2)^1/2" doesn't seem to be an example of how a (non-integer n)^2 can equal an integer. Thanks.

Initial question by JP:

DS question

is n an integer?
1) n^2 is an integer

in the statement above, can anyone provide me with an example of n not being an integer when n^2 is an integer? thanks.

If n = 1.414.....(the square root of 2), then n is not an integer when n^2 is. As Saurabh mentioned, this works with any non-perfect square situation, such as root3, root5, root6, root7, etc. Notice that with a perfect square, such as the number 4, this does not hold true.

Hope this helps!

Good work! Ya'll are making my job easier!

GMAT 5/18 thanks for the explanation. was helpful...