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## Homework Statement

Prove

a)5 < 5

^{1/2}+ 5

^{1/3}+ 5

^{1/4}

b) n > n

^{1/2}+ n

^{1/3}+ n

^{1/4}for all ints n>8

## Homework Equations

## The Attempt at a Solution

i tried the AM GM inequality

and found

5

^{1/2}+ 5

^{1/3}+ 5

^{1/4}> 3(5

^{13/36})

what further can i do?

can anyone please help me out??