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If M = sqrt4 + 3sqrt4 + 4sqrt4

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If M = sqrt4 + 3sqrt4 + 4sqrt4 [#permalink] New post 21 Dec 2008, 15:32
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If M = \sqrt{4} + 3\sqrt{4} + 4\sqrt{4}, then the value of M is

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

See image for equation

Anyone know a quick way to solve?
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Director
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Re: Roots [#permalink] New post 21 Dec 2008, 15:48
This topic should probably be moved, but here's how I would think about it.

4^(1/2)=2
4^0=1, so 4^(1/3) and 4^(1/4) will both be greater than 1
2+1+1+change>4
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Re: Roots   [#permalink] 21 Dec 2008, 15:48
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If M = sqrt4 + 3sqrt4 + 4sqrt4

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