" a.Povie that "3sqrt(2)" is iroutiond "n_(0)

Prove that ((sqrt3+i)/(sqrt3-i)) ^(3n) +1=0 for all odd integral values of n.

Prove that: (i)\ sqrt(1/4)+\ (0. 01)^(-1/2)-\ (27)^(2/3)=3/2 (ii)\ (2^n+\ 2^(n-1))/(2^(n+1)-2^n)=3/2

lim_ (n rarr oo) sum_ (n = 1) ^ (n) (sqrt (n)) / (sqrt (r) (3sqrt (r) + 4sqrt (n)) ^ (2))

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(2)+\ sqrt(3))/(3sqrt(2\ )-\ 2sqrt(3))=a-b\ sqrt(6)

lim_(n to oo) (sqrt(1) + sqrt(2) + …… + sqrt(n))/(n^(3//2)) equals :

If n is a possible integer, then (sqrt3+1)^(2n)-(sqrt3-1)^(2n) is