[sqrt(3x-5)-(1)/(sqrt(3x-5))]^(5)

Using componendo and dividendo, find the value of x if (sqrt(3x+4)+sqrt(3x-5))/(sqrt(3x+4)-sqrt(3x-5))=9 .

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

Evaluate: ("Lim")_(x->4)(sqrt(2x+1)+sqrt(x-3)-4)/(sqrt((3x+4))+sqrt(5x+5)-9)

sqrt(5x-4)+sqrt(3x+1)<3

Evaluate ((x+sqrt(3))(x-sqrt(5))+(x+sqrt(5))(x-sqrt(3)))/((x-sqrt(3))(x-sqrt(5)))

If P(x)=1/(sqrt(3x+1))[((1+sqrt(3x+1))/5)^(n)-((1-sqrt(3x+1))/5)^(n)] is a 5th degree polynomial, then value of n is

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

(3x+sqrt(9x^(2)-5))/(3x-sqrt(9x^(2)-5))=5

Prove that: (sqrt(3x5^(-3))-:3^(-1)3sqrt(5))x3x5^(6)6=(3)/(5)

(x+sqrt(x^3-1))^5+(x-sqrt(x^3-1))^5 is a polynomial of degree