`root(3n)(a^3) times root(n)(a^(n-1))`

sqrt(m^(2)n^(2))times root(6)(m^(2)n^(2))times root(3)(m^(2)n^(2))

The value of lim_(x rarr oo)[root(3)((n+1)^(2))-root(3)((n-1)^(2))] is

The value of lim_(ntooo) [root(3)((n+1)^(2))-root(3)((n-1)^(2))] is __________.

(i) ((root(n)(a))^(sqrt(n)))^(sqrt(n))

lim_ (n rarr oo) [(sqrt (n ^ (2) +1) + sqrt (n)) / (root (4) (n ^ (3) + n) -root (4) (n))]

If the second term in the expansion of (root(13)(a)+ (a)/(sqrt(a^(-1))))^(n) is 14a^(5//2) " then value of " (""^(n)C_(3))/(""^(n)C_(2)) is

the least postitive interger n from which root(3) (n+1) -root(3)(n)lt (1)/(12) is -

If m=root(3)(15) and n=root(3)(14) ,find the value of m-n-(1/(m^(2)+mn+n^(2)))