Question

How to find number of irrational terms in binomial expansion

Answer 1

Answer:

If the expansion contains any irrational term then we have to look for those powers of that term which is not nullifying the irrational power of that term.

So if the term is x^(1/y) then on expansion of (z+x^(1/y))^n we obtain (n+1) terms. So powers which will nullify effect of (1/y) are multiples of y. So we divide n by y and get the quotient q which denotes number of powers which are multiple of y.

So those number of terms which are irrational are : (n-q)

where q is quotient on dividing n by y.

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