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Find the value of a so that the term ind...

Find the value of a so that the term independent of `x` in `(sqrt(x)+a/(x^2))^(10)` is`405` .

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`T_(r ) =""^(10)C_(r-1) (sqrt(x))^(10-r+1)((a)/(x(2)))^(r-1)`
`T_( r) =""^(10)C_(r-1)x^((15-5r)/(2))a^(r-1)implies(15-5r)/(2)=0implies r=3`
`T_(3)=""^(10)C_(2) a^(2)=405implies a=pm3`
`:.` Sum of the values of 'a'=0
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