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  • The minimum value of sum of real no a-^5,a^-4,3a^-3, 1, a^8 and a^10,with a>0,is

The minimum value of sum of real no a-^5,a^-4,3a^-3, 1, a^8 and a^10,with a>0,is

Answers (1)

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Solution: The given numbers are

a^-5,a^-4, a^-3, a^-3, a^-3, 1, a^8 ;and;a^10

We know that

AMgeq GM\ \Rightarrow 1/8(a^-5+a^-4+a^-3+a^-3+a^-3+a^0+a^8+a^10)geq [(a^-5 imes a^-4 imes a^-3 imes a^-3 imes a^-3 imes a^0 imes a^8 imes a^10)]^1/8geq 1

The Minimum value is 8

Posted by

Deependra Verma

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