Problem Solving

I'd like some help solving this mba.com practice question. The answer is 5.
Thanks!

I would go with the simple solution that the 2 - sqr rt x < 0 for the whole expression amkes it not real or in other words complex.


Substituting values from the options 5 satisfies it. This is a quick way to do it.

In case there were other options which would have satisfied the inequation. We should check the other inequality which is 1 - sqr rt ( 2 - sqr rt x ) <0.

Square root of a negative gives a complex or a non real number

All we have to do is substitute each value from the choices and the moment we end up with a square root of a negative number, we have found the answer.

Thanks a lot! It was helpful!