Simplifty : `root(4)root(3)((2)^2)`

int (dx)/(root3(x)+root4(x))

Solve the equation equation root(3)((2x-1))+root(3)((x-1))=1

Evaluate int(sqrt(1+root(3)(x)))/(root(3)(x^(2)))dx .

The number of irrational terms in the expansion of (root(8)(5)+ root(6)(2))^(100) is

If root(3)(3(root(3)(x)-(1)/(root(3)(x)))) =2,then root(3)(x)-(1)/(root(3)(x))

Find the term independent of x in the expansion of (root(3)(x) + 1/(2root(3)(x)))^(18)

Find n,if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of (root(4)(2)+1/(root(4)(3)))^n is sqrt6:1 .

Find the number of terms in the expansion of (root(2)(9) + root(2)(8) )^(500) which are integers .

The number of rational terms in the expansion of (root (3)(4) + (1)/(root(4)(6)))^(20) is