Determine the total number of individual rational terms in the multinomial expansion of each of the following expressions:

(I) (√12 + √32 + √48 + √50)⁶

(II) (√12 + √32 + √48 + √50)⁸

Hence or otherwise, determine the total number of individual rational terms in the multinomial expansion of (√12 + √32 + √48 + √50)²ⁿ in terms of n, whenever n is a positive integer.

(In reply to Combine the terms? by Math Man)

No. Only the total number of the individual rational terms in the multinomial expansion is required in conformity with the given conditions.

Posted by K Sengupta on 2011-03-23 00:13:08