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by sumithshah » Fri Aug 15, 2008 3:05 am
OA is E btw
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by pepeprepa » Fri Aug 15, 2008 3:41 am
sqrt(4)=2
4^(1/4)=(2^2^)^(1/4)=2^(1/2)=sqrt(2)= more or less 1.4
4^(1/3)= more or less 1.6 by searching a little

The toal is greater than 4.
But anyway you are sure that the result is at least 3.4 thanks to sqrt(4) and 4^(1/4)=sqrt(2)=1.4
And you are also sure that 4^(1/3) is between 1 and 2 so it is greater than 4
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by sumithshah » Fri Aug 15, 2008 4:10 am
Ah! completely missed the 4 = 2^2 part!
thanks
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by santa_dem » Fri Aug 15, 2008 5:18 am
Without any great math knwoledge, you should know at least that

4^(1/2)=2

x^(1/y)=1 for any x and y, and if x>1, then x^(1/y)>1

so 2+1+...+1+...>4
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