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Find the term in(3sqrt(((a)/(sqrt(b))) +...

Find the term in`(3sqrt(((a)/(sqrt(b)))` + `(sqrt((b)/ (3sqrt(a))))^(21)` which has the same power of `a and bdot`

Text Solution

Verified by Experts

We have
`T_(r+1) = .^(21)C_(r)(sqrt(3)sqrt((a)/(sqrt(b))))^(21-r)(sqrt((b)/(3sqrt(a))))^(r)`
`= .^(21)C_(r)a^(7-(r//2))b^((2//3)r-(7//2))`
Since the powers of a and b are same, we have
` 7 - r/2 = 2/3 r - 7/2` or `r = 9`
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