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Question

anonymous · Answer

If the range of $$\sqrt{mx}$$ and the range of $$m \sqrt{x}$$ are the same, which statement is true about the value of m?

~ m can only equal 1.
~ m can be any positive real number.
~ m can be any negative real number.
~ m can be any real number.

mathmate · Answer

$\sqrt{mx}=\sqrt m \sqrt x$
so we deduce from the given equality that
$\sqrt m =m$
From the list of choices you can find the one that satisfies this condition.

anonymous · Answer

Well I know it's not the first answer, and the third choice doesn't make sense because it's negative which also means that the last choice is wrong because it includes negative numbers. With that being said, I believe it's the second choice. Am I right?

mathmate · Answer

Would "any positive real number m" satisfy $\sqrt m = m$?
For example, m=5, is $\sqrt 5 = 5$ ?
Try the same question for all the other answers and recheck you choice.