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The number of irrational terms in expans...

The number of irrational terms in expansion `(7^(1/5)-3^(1/10))^60` is (A) `54` (B) `48` (C) `42` (D) `40`

A

54

B

48

C

55

D

49

Text Solution

Verified by Experts

The correct Answer is:
A
General terms `T_(r+1) = .^(60)C_(r )(7^(1//5))^(60-r) (-3^(1//10))^(r ) = .^(60)C_( r)(7)^((60-r)/(5)) (-1)^(r )3^(r//10)`
Terms will be rational if, `r =10n, n in I rArr r = 0,10,20,30,40,50,60`
No. of irrantional terms = 61 - 7 = 54
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