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The minimum value of the sum of real num...

The minimum value of the sum of real number `a^(-5),a^(-4),3a^(-3),1,a^8,a n da^(10)w i t ha >0` is

Text Solution

Verified by Experts

The correct Answer is:
8
Using A.M. `ge` G.M.
`rArr(a^(-5)=a^(-4)+a^(-3)+a^(-3)+a^(-8)+a^(10)+a)/(8)ge1`
or `rArra^(-5)+a^(-4)+a^(-3)+a^(-3)+a^(-8)+a^(10)+1ge8`
`rArr(a^(-5)+a^(-4)+3a^(-3)+a^(-3)+a^(8)+a^(10)+1)_("min")=8`
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