If sqrt(4 + x^1/2)=sqrt(x + 2) , then x could be equal to

[DentArthurDent]

If sqrt(4 + x^1/2)=sqrt(x + 2) , then x could be equal to which of the following?

The solutions to this equation are 4 and 1.
Both of these are listed in the choices.

Now, the solution description says, substituting 1 for x in the above equation does not return an equality.

How can that be true if 1 IS a solution to the equation!

It says sqrt( 4 + 1^1/2) != sqrt(1 + 2)

This is not true... Please note that 1^1/2 = +1 or -1...

If it is -1 the LHS = sqrt(3) which is the same as the RHS...

One of the choices 1 or 4 needs to be removed.

[Guest]

If you include the entire question, and the answer choices as written on the test, that would be helpful in providing a reponse.
Thanks.

[JadranLee]

Yes, if DentArthurDent could copy the whole question and its answer choices, and indicate the name of the question (all ManhattanGMAT questions have names), I'd be able to help. Right now I'm having trouble figuring out what problem DentArthurDent has in mind.

If you include the entire question, and the answer choices as written on the test, that would be helpful in providing a reponse.
Thanks.