In the expansion of `(5^(1//2)+7^(1//8))^(1024),` the number of integral terms is `128` b. `129` c. `130` d. `131`

In the expansion of (1+ x + 7/x)^11 find the term not containing x.

If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the value of mdot

Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

Find the number of irrational terms in the expansion of (5^(1//6)+2^(1//8))^(100)dot

The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^(15) is/are (with respect to different power of x ) 255 b. 61 c. 127 d. none of these

The middle term in the expansion of (x//2+2)^8 is 1120, then x in R is equal to a. -2 b. 3 c. -3 d. 2

The number of intergral terms in the expansion of (3^(1/2) + 5^(1/3))^(1296) is

In the expansion of (x^2+1+1/(x^2))^n ,n in N , (a)number of terms is 2n+1 (b)coefficient of constant terms is 2^(n-1) (c)coefficient of x^(2n-1)i sn (d)coefficient of x^2 in n

If the last tem in the binomial expansion of (2^(1/3)-1/(sqrt(2)))^n i s(1/(3^(5/3)))^(log_3 8) , then 5th term from the beginning is 210 b. 420 c. 105 d. none of these

The coefficient of x^4 in the expansion of {sqrt(1+x^2)-x}^(-1) in ascending powers of x , when |x|<1,i s 0 b. 1/2 c. -1/2 d. -1/8