I have a follow up question. If either of the statements were even rooted would the statement then be insufficient since then w could be negative or positive?
That's a great question. Keep in mind that when the root symbol appears on the test, they actually want the principal square root (i.e. the positive root only). This idea explained here: https://magoosh.com/gre/2016/positive-and-negative-square-roots-on-the-gre/ (the blog post is about the GRE, but it applies to the GMAT as well).
So if Statement 1 were an even root, it would be referring to a positive root, and it would still be sufficient.
Just a note that in the explanation for the first statement Mike says "square root" but the question asks for "cube root". Clearly just a slip of the tongue, because he does write cube root on the screen. :)
Thanks for letting us know about this, Jordan! I've let our content team know so that when this video is updated, the mistake can be corrected. That said, with the variety of projects going on right now, that may take some time. In the meantime, your comment will definitely help clarify possible confusion. Thanks again :D
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