`sqrt(5+(x)^(1/3))=3`

If [3(3sqrt(x)-(1)/(3sqrt(x)))]^((1)/(3))=2 then find the value of 3sqrt(x)+(1)/(3sqrt(x))

Let x=(2+sqrt(5))^((1)/(3))+(2-sqrt(5))^((1)/(3)),x^(3)+3x is equal to

((sqrt(x))^((3)/(5))times(sqrt(x))^((2)/(5))+2sqrt(x))/(2(sqrt(x))^((2)/(3))times(sqrt(x))^((1)/(3))+sqrt(x))=

lim_ (x rarr oo) (2sqrt (x) + 3x ^ (1/3) + 5x ^ (1/5)) / (sqrt (3x-2) + (2x-3) ^ (1/3))

(27^(((1)/(5)))((x)/(4)-sqrt((x)/(3))))^((x)/(4)+sqrt((x)/(3)))=3^((7)/(4))

int(dx)/(x^(5/6)(1+5x^(1/3))sqrt(1+4x^(1/3)))

If sqrt( 1- (x^(3))/(100))=(3)/(5) , then x equals

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

If x=(7+5sqrt(2))^(1/3)-1/((7+5sqrt(2))^(1/3)) , then the value of x^3+3x-14 is equal to 1 b. 0 c. 2 d. 4