2011/055) Find the sum of rational terms of (2^(1/2) + 3^(1/5))^ 10

Let a rational term be (10Cn) (2^1/2)^n (3(^1/5)^(10-n)

Now n/2 and (10-n)/5 need to be integers

n = 0 and n =1 10 satisfy the criteria and for n = 0 we get 9 and for n = 10 we get 32 so sum of rational terms = 41