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Chris Peckover
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Oct 13 to Jan 7, 2027

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Logan Thompson
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Expert replies
Source: — Problem Solving |

by blah45 » Mon Jul 16, 2007 5:11 am
M= 4^1/2 +4^1/3 + 4^1/4
convert all to power of 2
M = 2 + 2^(2/3) + 2^(1/2)

2^(1/2) ~= 1.4
2^(1/2) < 2^(2/3) < 2. I just took => 2^(2/3) = 1.5

so, M = 2 + 1.5 + 1.4 = 2 + 2.9 = 4.9
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by givemeanid » Mon Jul 16, 2007 5:17 am
M = 4^1/2 +4^1/3 + 4^1/4

You know 4^1/2 = 2.
Now, the smallest value of m^n where m > 1 and n > 0 is 1.
So M = 2 + x + y where x >=1 and y>=1
M > 4.
So It Goes
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