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If M = \(\sqrt4 + \sqrt[3]4 + \sqrt[4]4\) then M is

A) less than 3 B) equal to 3 C) between 3 and 4 D) equal to 4 E) greater than 4

E.

This is going to be \(2 + \sqrt[3]4 + \sqrt{2}\)

We know that \(\sqrt{2}\) is approx 1.4, so 2 + 1.4 = 3.4 and the cube root of 4 should be between the two other values, so we have 2 + 1.4 + [some value between 2 and 1.4] therefore, it must be greater than 4.
_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

Sometimes people that read it might not see exactly what you're saying, and for the sake of learning, it's often best to just spell it out even when it appears obvious. For those people who do not see it as obvious aren't likely to speak out and say they don't understand. By stating what might appear to be obvious on how the rule brings us to the answer step-by-step, it helps people learn. Some users don't care to hit a 750+ GMAT score. They just want to go from a 550 to a 620 maybe and they'll be happy. We want to help those individuals as well.
_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.