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M is.....

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Re: M is.....

by dtweah » Fri Aug 14, 2009 4:26 am
joyseychow wrote:Easy one.... but brain de@d
M= 2 +4^1/3 + 4^1/4
2+ 4^1/3 +2^1/2
3.414 + 4^1/3
If 4^1/4 =2.414, then 4^1/3 >2.414
Hence E follows.
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by truplayer256 » Fri Aug 14, 2009 6:28 am
Square root of 4 is obviously 2.

Cubic root of four is somewhere between 1 and 2.

4th root of four is somewhere between 1 and 2.

Maximum value of M is 2+2+2=6

Minimum value of M is 2+1+1=4

M must be between 4 and 6. It's clear that in this case, M is always greater than 4.

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