root(8)(sqrt(x^(2)+3x))

Evaluate : x^(3)+3x-13, " if" x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2)))

Simplify root(5)(x^(4)root(4)(x^(3)root(3)(x^(2)sqrt(x))))

lim_(x rarr2)(x^(3)-8)/(sqrt(x^(2)+x+2)-sqrt(3x+2))

lim_(x rarr 0) (sqrt(8-3x)+sqrt(8+4x))/(sqrt(2-3x))= _______.

root(5)(x^(8).sqrt(x^(6).sqrt(x^(-4))

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these

If [root(8)(((2)/(3))^(5))]^(sqrt(x-5))=a^(0), find the value of x

(sqrt(8+2x-x^2)>6-3x)